10612365642 has 48 divisors (see below), whose sum is σ = 23563082088. Its totient is φ = 3450595200.

The previous prime is 10612365637. The next prime is 10612365653. The reversal of 10612365642 is 24656321601.

10612365642 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 2 + 3 + 6 + 5 + 642 = 666.

10612365642 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 10469587041 + 142778601 = 102321^2 + 11949^2 .

It is a super-2 number, since 2×10612365642² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10612365597 and 10612365606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132892 + ... + 197192.

Almost surely, 2^10612365642 is an apocalyptic number.

10612365642 is an abundant number, since it is smaller than the sum of its proper divisors (12950716446).

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

10612365642 is a wasteful number, since it uses less digits than its factorization.

10612365642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64535 (or 64532 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10612365642 in words is "ten billion, six hundred twelve million, three hundred sixty-five thousand, six hundred forty-two".