31965954048 has 720 divisors, whose sum is σ = 116027684864. Its totient is φ = 8599633920.

The previous prime is 31965954019. The next prime is 31965954049. The reversal of 31965954048 is 84045956913.

31965954048 is a `hidden beast` number, since 3 + 1 + 9 + 6 + 59 + 540 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31965953985 and 31965954003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31965954049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 863944686 + ... + 863944722.

Almost surely, 2^31965954048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31965954048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58013842432).

31965954048 is an abundant number, since it is smaller than the sum of its proper divisors (84061730816).

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

31965954048 is an frugal number, since it uses more digits than its factorization.

31965954048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 31965954048 in words is "thirty-one billion, nine hundred sixty-five million, nine hundred fifty-four thousand, forty-eight".