31146602256 has 405 divisors, whose sum is σ = 112041259239. Its totient is φ = 8047670400.

The previous prime is 31146602233. The next prime is 31146602303. The reversal of 31146602256 is 65220664113.

The square root of 31146602256 is 176484.

It is a perfect power (a square), and thus also a powerful number.

31146602256 is a `hidden beast` number, since 3 + 1 + 1 + 46 + 602 + 2 + 5 + 6 = 666.

It is a super-2 number, since 2×31146602256² (a number of 22 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 31146602256.

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 80 ways as a sum of consecutive naturals, for example, 163071121 + ... + 163071311.

Almost surely, 2^31146602256 is an apocalyptic number.

31146602256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31146602256 is the 176484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31146602256

31146602256 is an abundant number, since it is smaller than the sum of its proper divisors (80894656983).

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

31146602256 is a wasteful number, since it uses less digits than its factorization.

31146602256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 214 counting only the distinct ones).

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

Multiplying 31146602256 by its sum of digits (36), we get a square (1121277681216 = 1058904²).

31146602256 divided by its sum of digits (36) gives a square (865183396 = 29414²).

The spelling of 31146602256 in words is "thirty-one billion, one hundred forty-six million, six hundred two thousand, two hundred fifty-six".