31263145056 has 216 divisors, whose sum is σ = 105023010456. Its totient is φ = 8744785920.

The previous prime is 31263145037. The next prime is 31263145073. The reversal of 31263145056 is 65054136213.

31263145056 is a `hidden beast` number, since 3 + 12 + 631 + 4 + 5 + 0 + 5 + 6 = 666.

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 31263145056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 506196 + ... + 564588.

It is an arithmetic number, because the mean of its divisors is an integer number (486217641).

Almost surely, 2^31263145056 is an apocalyptic number.

31263145056 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 31263145056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52511505228).

31263145056 is an abundant number, since it is smaller than the sum of its proper divisors (73759865400).

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

31263145056 is a wasteful number, since it uses less digits than its factorization.

31263145056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58446 (or 58422 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 31263145056 in words is "thirty-one billion, two hundred sixty-three million, one hundred forty-five thousand, fifty-six".