31334664256 has 189 divisors, whose sum is σ = 75605281479. Its totient is φ = 12847113216.

The previous prime is 31334664253. The next prime is 31334664259. The reversal of 31334664256 is 65246643313.

The square root of 31334664256 is 177016.

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

It is an interprime number because it is at equal distance from previous prime (31334664253) and next prime (31334664259).

It can be written as a sum of positive squares in 4 ways, for example, as 1585313856 + 29749350400 = 39816^2 + 172480^2 .

It is a super-2 number, since 2×31334664256² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31334664253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 287473930 + ... + 287474038.

Almost surely, 2^31334664256 is an apocalyptic number.

31334664256 is the 177016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31334664256

31334664256 is an abundant number, since it is smaller than the sum of its proper divisors (44270617223).

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

31334664256 is an equidigital number, since it uses as much as digits as its factorization.

31334664256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 147 counting only the distinct ones).

The product of its digits is 933120, while the sum is 43.

The spelling of 31334664256 in words is "thirty-one billion, three hundred thirty-four million, six hundred sixty-four thousand, two hundred fifty-six".