104909802963264 has 168 divisors, whose sum is σ = 342885349071720. Its totient is φ = 30381119373312.

The previous prime is 104909802963197. The next prime is 104909802963313. The reversal of 104909802963264 is 462369208909401.

104909802963264 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 0 + 9 + 80 + 296 + 3 + 264 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30860335923264 + 74049467040000 = 5555208^2 + 8605200^2 .

It is a super-2 number, since 2×104909802963264² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411943009 + ... + 412197600.

It is an arithmetic number, because the mean of its divisors is an integer number (2040984220665).

Almost surely, 2^{104909802963264} is an apocalyptic number.

It is an amenable number.

104909802963264 is an abundant number, since it is smaller than the sum of its proper divisors (237975546108456).

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

104909802963264 is a wasteful number, since it uses less digits than its factorization.

104909802963264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824140657 (or 824140644 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 104909802963264 in words is "one hundred four trillion, nine hundred nine billion, eight hundred two million, nine hundred sixty-three thousand, two hundred sixty-four".