413339668568064 has 768 divisors, whose sum is σ = 1454038961356800. Its totient is φ = 113530097664000.

The previous prime is 413339668568059. The next prime is 413339668568069. The reversal of 413339668568064 is 460865866933314.

413339668568064 is a `hidden beast` number, since 41 + 3 + 3 + 396 + 6 + 85 + 68 + 0 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (413339668568059) and next prime (413339668568069).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×413339668568064² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 413339668567983 and 413339668568001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413339668568069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1811769969 + ... + 1811998095.

It is an arithmetic number, because the mean of its divisors is an integer number (1893279897600).

Almost surely, 2^{413339668568064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413339668568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727019480678400).

413339668568064 is an abundant number, since it is smaller than the sum of its proper divisors (1040699292788736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413339668568064 is a wasteful number, since it uses less digits than its factorization.

413339668568064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228347 (or 228321 counting only the distinct ones).

The product of its (nonzero) digits is 1612431360, while the sum is 72.

The spelling of 413339668568064 in words is "four hundred thirteen trillion, three hundred thirty-nine billion, six hundred sixty-eight million, five hundred sixty-eight thousand, sixty-four".