31514380920 has 192 divisors, whose sum is σ = 113307517440. Its totient is φ = 7532179200.

The previous prime is 31514380907. The next prime is 31514380943. The reversal of 31514380920 is 2908341513.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 225117 + ... + 337203.

It is an arithmetic number, because the mean of its divisors is an integer number (590143320).

Almost surely, 2^31514380920 is an apocalyptic number.

31514380920 is a gapful number since it is divisible by the number (30) 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 31514380920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56653758720).

31514380920 is an abundant number, since it is smaller than the sum of its proper divisors (81793136520).

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

31514380920 is a wasteful number, since it uses less digits than its factorization.

31514380920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112186 (or 112179 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 31514380920 in words is "thirty-one billion, five hundred fourteen million, three hundred eighty thousand, nine hundred twenty".