31268763144 has 48 divisors (see below), whose sum is σ = 89143407600. Its totient is φ = 9874345824.

The previous prime is 31268763131. The next prime is 31268763157. The reversal of 31268763144 is 44136786213.

31268763144 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 8 + 7 + 631 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (31268763131) and next prime (31268763157).

It is a self number, because there is not a number n which added to its sum of digits gives 31268763144.

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 11 ways as a sum of consecutive naturals, for example, 11427274 + ... + 11430009.

It is an arithmetic number, because the mean of its divisors is an integer number (1857154325).

Almost surely, 2^31268763144 is an apocalyptic number.

It is an amenable number.

31268763144 is an abundant number, since it is smaller than the sum of its proper divisors (57874644456).

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

31268763144 is a wasteful number, since it uses less digits than its factorization.

31268763144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22857314 (or 22857307 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 31268763144 in words is "thirty-one billion, two hundred sixty-eight million, seven hundred sixty-three thousand, one hundred forty-four".