10064656695456 has 144 divisors (see below), whose sum is σ = 31618542533760. Its totient is φ = 3011289615360.

The previous prime is 10064656695433. The next prime is 10064656695523. The reversal of 10064656695456 is 65459665646001.

10064656695456 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 46 + 56 + 6 + 95 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10064656695393 and 10064656695402.

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, 19857165 + ... + 20357708.

It is an arithmetic number, because the mean of its divisors is an integer number (219573212040).

Almost surely, 2^{10064656695456} is an apocalyptic number.

10064656695456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10064656695456 is an abundant number, since it is smaller than the sum of its proper divisors (21553885838304).

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

10064656695456 is a wasteful number, since it uses less digits than its factorization.

10064656695456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40214979 (or 40214968 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 10064656695456 in words is "ten trillion, sixty-four billion, six hundred fifty-six million, six hundred ninety-five thousand, four hundred fifty-six".