31113605952 has 840 divisors, whose sum is σ = 116535951840. Its totient is φ = 8069621760.

The previous prime is 31113605951. The next prime is 31113605969. The reversal of 31113605952 is 25950631113.

It is a happy number.

31113605952 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 3 + 60 + 595 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31113605951) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 661991593 + ... + 661991639.

It is an arithmetic number, because the mean of its divisors is an integer number (138733276).

Almost surely, 2^31113605952 is an apocalyptic number.

31113605952 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 31113605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58267975920).

31113605952 is an abundant number, since it is smaller than the sum of its proper divisors (85422345888).

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

31113605952 is a wasteful number, since it uses less digits than its factorization.

31113605952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

It can be divided in two parts, 3111 and 3605952, that added together give a palindrome (3609063).

The spelling of 31113605952 in words is "thirty-one billion, one hundred thirteen million, six hundred five thousand, nine hundred fifty-two".