13414436450064 has 800 divisors, whose sum is σ = 44591695948800. Its totient is φ = 3859096919040.

The previous prime is 13414436450053. The next prime is 13414436450101. The reversal of 13414436450064 is 46005463441431.

13414436450064 is a `hidden beast` number, since 1 + 3 + 41 + 4 + 43 + 6 + 4 + 500 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13815073099 + ... + 13815074069.

It is an arithmetic number, because the mean of its divisors is an integer number (55739619936).

Almost surely, 2^{13414436450064} 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 13414436450064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22295847974400).

13414436450064 is an abundant number, since it is smaller than the sum of its proper divisors (31177259498736).

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

13414436450064 is a wasteful number, since it uses less digits than its factorization.

13414436450064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

Adding to 13414436450064 its reverse (46005463441431), we get a palindrome (59419899891495).

The spelling of 13414436450064 in words is "thirteen trillion, four hundred fourteen billion, four hundred thirty-six million, four hundred fifty thousand, sixty-four".