10645513632 has 72 divisors (see below), whose sum is σ = 32601896964. Its totient is φ = 3275541504.

The previous prime is 10645513609. The next prime is 10645513639. The reversal of 10645513632 is 23631554601.

10645513632 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 5 + 5 + 13 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10642810896 + 2702736 = 103164^2 + 1644^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10645513632² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10645513639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1417933 + ... + 1425420.

Almost surely, 2^10645513632 is an apocalyptic number.

10645513632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10645513632 is an abundant number, since it is smaller than the sum of its proper divisors (21956383332).

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

10645513632 is a wasteful number, since it uses less digits than its factorization.

10645513632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843382 (or 2843371 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 10645513632 in words is "ten billion, six hundred forty-five million, five hundred thirteen thousand, six hundred thirty-two".