31993913952 has 1440 divisors, whose sum is σ = 136262649600. Its totient is φ = 7143966720.

The previous prime is 31993913947. The next prime is 31993914013. The reversal of 31993913952 is 25931939913.

It is a super-2 number, since 2×31993913952² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 542269699 + ... + 542269757.

It is an arithmetic number, because the mean of its divisors is an integer number (94626840).

Almost surely, 2^31993913952 is an apocalyptic number.

31993913952 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 31993913952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68131324800).

31993913952 is an abundant number, since it is smaller than the sum of its proper divisors (104268735648).

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

31993913952 is a wasteful number, since it uses less digits than its factorization.

31993913952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its digits is 1771470, while the sum is 54.

The spelling of 31993913952 in words is "thirty-one billion, nine hundred ninety-three million, nine hundred thirteen thousand, nine hundred fifty-two".