10314521856 has 360 divisors, whose sum is σ = 32587410240. Its totient is φ = 3251736576.

The previous prime is 10314521851. The next prime is 10314521891. The reversal of 10314521856 is 65812541301.

It is a super-2 number, since 2×10314521856² (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 a self number, because there is not a number n which added to its sum of digits gives 10314521856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10314521851) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115893460 + ... + 115893548.

It is an arithmetic number, because the mean of its divisors is an integer number (90520584).

Almost surely, 2^10314521856 is an apocalyptic number.

10314521856 is a gapful number since it is divisible by the number (16) 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 10314521856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16293705120).

10314521856 is an abundant number, since it is smaller than the sum of its proper divisors (22272888384).

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

10314521856 is an frugal number, since it uses more digits than its factorization.

10314521856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10314521856 in words is "ten billion, three hundred fourteen million, five hundred twenty-one thousand, eight hundred fifty-six".