10635633216 has 84 divisors (see below), whose sum is σ = 32830154812. Its totient is φ = 3272500224.

The previous prime is 10635633181. The next prime is 10635633241. The reversal of 10635633216 is 61233653601.

10635633216 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 5 + 633 + 2 + 16 = 666.

10635633216 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 2 ways, for example, as 1743897600 + 8891735616 = 41760^2 + 94296^2 .

It is a super-2 number, since 2×10635633216² (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 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 11 ways as a sum of consecutive naturals, for example, 702691 + ... + 717666.

Almost surely, 2^10635633216 is an apocalyptic number.

10635633216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10635633216 is an abundant number, since it is smaller than the sum of its proper divisors (22194521596).

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

10635633216 is a wasteful number, since it uses less digits than its factorization.

10635633216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420388 (or 1420375 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 10635633216 in words is "ten billion, six hundred thirty-five million, six hundred thirty-three thousand, two hundred sixteen".