31581956495712 has 384 divisors, whose sum is σ = 99101881202688. Its totient is φ = 8618622566400.

The previous prime is 31581956495711. The next prime is 31581956495717. The reversal of 31581956495712 is 21759465918513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31581956495711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411286762 + ... + 411363542.

It is an arithmetic number, because the mean of its divisors is an integer number (258077815632).

Almost surely, 2^{31581956495712} is an apocalyptic number.

31581956495712 is a gapful number since it is divisible by the number (32) 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 31581956495712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49550940601344).

31581956495712 is an abundant number, since it is smaller than the sum of its proper divisors (67519924706976).

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

31581956495712 is a wasteful number, since it uses less digits than its factorization.

31581956495712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77142 (or 77134 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 66.

The spelling of 31581956495712 in words is "thirty-one trillion, five hundred eighty-one billion, nine hundred fifty-six million, four hundred ninety-five thousand, seven hundred twelve".