10645621664265 has 120 divisors (see below), whose sum is σ = 21539587841928. Its totient is φ = 4863618385920.

The previous prime is 10645621664239. The next prime is 10645621664303. The reversal of 10645621664265 is 56246612654601.

10645621664265 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 5 + 621 + 6 + 6 + 4 + 2 + 6 + 5 = 666.

10645621664265 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2136335947641 + 8509285716624 = 1461621^2 + 2917068^2 .

It is not a de Polignac number, because 10645621664265 - 2²⁶ = 10645554555401 is a prime.

It is a super-2 number, since 2×10645621664265² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 183323335 + ... + 183381395.

Almost surely, 2^{10645621664265} is an apocalyptic number.

10645621664265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10645621664265 is an abundant number, since it is smaller than the sum of its proper divisors (10893966177663).

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

10645621664265 is an equidigital number, since it uses as much as digits as its factorization.

10645621664265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59797 (or 59773 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 10645621664265 in words is "ten trillion, six hundred forty-five billion, six hundred twenty-one million, six hundred sixty-four thousand, two hundred sixty-five".