6413423550336 has 384 divisors, whose sum is σ = 21476909798400. Its totient is φ = 1880765568000.

The previous prime is 6413423550277. The next prime is 6413423550343. The reversal of 6413423550336 is 6330553243146.

6413423550336 is a `hidden beast` number, since 6 + 4 + 1 + 34 + 235 + 50 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6413423550336² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6413423550291 and 6413423550300.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12716091 + ... + 13210821.

It is an arithmetic number, because the mean of its divisors is an integer number (55929452600).

Almost surely, 2^{6413423550336} is an apocalyptic number.

6413423550336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6413423550336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10738454899200).

6413423550336 is an abundant number, since it is smaller than the sum of its proper divisors (15063486248064).

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

6413423550336 is a wasteful number, since it uses less digits than its factorization.

6413423550336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494807 (or 494778 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 6413423550336 in words is "six trillion, four hundred thirteen billion, four hundred twenty-three million, five hundred fifty thousand, three hundred thirty-six".