31277480256 has 336 divisors, whose sum is σ = 102705408000. Its totient is φ = 9013478400.

The previous prime is 31277480251. The next prime is 31277480291. The reversal of 31277480256 is 65208477213.

31277480256 is a `hidden beast` number, since 312 + 7 + 7 + 4 + 80 + 256 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31277480251) 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 47 ways as a sum of consecutive naturals, for example, 11587195 + ... + 11589893.

Almost surely, 2^31277480256 is an apocalyptic number.

31277480256 is a gapful number since it is divisible by the number (36) 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 31277480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51352704000).

31277480256 is an abundant number, since it is smaller than the sum of its proper divisors (71427927744).

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

31277480256 is a wasteful number, since it uses less digits than its factorization.

31277480256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

Adding to 31277480256 its product of nonzero digits (564480), we get a square (31278044736 = 176856²).

The spelling of 31277480256 in words is "thirty-one billion, two hundred seventy-seven million, four hundred eighty thousand, two hundred fifty-six".