10628917048764 has 72 divisors (see below), whose sum is σ = 30719153119200. Its totient is φ = 3035508884352.

The previous prime is 10628917048697. The next prime is 10628917048843. The reversal of 10628917048764 is 46784071982601.

10628917048764 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 8 + 91 + 7 + 0 + 487 + 64 = 666.

It is a super-2 number, since 2×10628917048764² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 8619339 + ... + 9775010.

Almost surely, 2^{10628917048764} is an apocalyptic number.

10628917048764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10628917048764 is an abundant number, since it is smaller than the sum of its proper divisors (20090236070436).

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

10628917048764 is a wasteful number, since it uses less digits than its factorization.

10628917048764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18396659 (or 18396654 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 10628917048764 in words is "ten trillion, six hundred twenty-eight billion, nine hundred seventeen million, forty-eight thousand, seven hundred sixty-four".