10642644406152 has 48 divisors (see below), whose sum is σ = 31444176656880. Its totient is φ = 3225043759200.

The previous prime is 10642644406139. The next prime is 10642644406181. The reversal of 10642644406152 is 25160444624601.

10642644406152 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 26 + 4 + 4 + 4 + 0 + 615 + 2 = 666.

10642644406152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10642644406152² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10642644406098 and 10642644406107.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6718840374 + ... + 6718841957.

It is an arithmetic number, because the mean of its divisors is an integer number (655087013685).

Almost surely, 2^{10642644406152} is an apocalyptic number.

10642644406152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10642644406152 is an abundant number, since it is smaller than the sum of its proper divisors (20801532250728).

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

10642644406152 is a wasteful number, since it uses less digits than its factorization.

10642644406152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13437682354 (or 13437682347 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 10642644406152 in words is "ten trillion, six hundred forty-two billion, six hundred forty-four million, four hundred six thousand, one hundred fifty-two".