31125523968 has 960 divisors, whose sum is σ = 122728573440. Its totient is φ = 7659048960.

The previous prime is 31125523967. The next prime is 31125523969. The reversal of 31125523968 is 86932552113.

31125523968 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 552 + 3 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (31125523967) and next prime (31125523969).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31125523967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1638185463 + ... + 1638185481.

It is an arithmetic number, because the mean of its divisors is an integer number (127842264).

Almost surely, 2^31125523968 is an apocalyptic number.

31125523968 is a gapful number since it is divisible by the number (38) 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 31125523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61364286720).

31125523968 is an abundant number, since it is smaller than the sum of its proper divisors (91603049472).

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

31125523968 is an frugal number, since it uses more digits than its factorization.

31125523968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 42 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 31125523968 in words is "thirty-one billion, one hundred twenty-five million, five hundred twenty-three thousand, nine hundred sixty-eight".