10307217813264 has 120 divisors (see below), whose sum is σ = 31043412248472. Its totient is φ = 3180626472960.

The previous prime is 10307217813199. The next prime is 10307217813283. The reversal of 10307217813264 is 46231871270301.

10307217813264 is a `hidden beast` number, since 1 + 0 + 30 + 7 + 217 + 81 + 326 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 218844324864 + 10088373488400 = 467808^2 + 3176220^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 34362679 + ... + 34661334.

Almost surely, 2^{10307217813264} is an apocalyptic number.

It is an amenable number.

10307217813264 is an abundant number, since it is smaller than the sum of its proper divisors (20736194435208).

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

10307217813264 is a wasteful number, since it uses less digits than its factorization.

10307217813264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69024105 (or 69024096 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10307217813264 in words is "ten trillion, three hundred seven billion, two hundred seventeen million, eight hundred thirteen thousand, two hundred sixty-four".