10314656352 has 576 divisors, whose sum is σ = 40489473024. Its totient is φ = 2403717120.

The previous prime is 10314656323. The next prime is 10314656353. The reversal of 10314656352 is 25365641301.

10314656352 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 46 + 563 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10314656353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10666173 + ... + 10667139.

It is an arithmetic number, because the mean of its divisors is an integer number (70294224).

Almost surely, 2^10314656352 is an apocalyptic number.

10314656352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314656352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20244736512).

10314656352 is an abundant number, since it is smaller than the sum of its proper divisors (30174816672).

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

10314656352 is a wasteful number, since it uses less digits than its factorization.

10314656352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1040 counting only the distinct ones).

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

It can be divided in two parts, 10314 and 656352, that added together give a palindrome (666666).

The spelling of 10314656352 in words is "ten billion, three hundred fourteen million, six hundred fifty-six thousand, three hundred fifty-two".