31985048016 has 120 divisors (see below), whose sum is σ = 94581133920. Its totient is φ = 10460451456.

The previous prime is 31985047979. The next prime is 31985048119. The reversal of 31985048016 is 61084058913.

31985048016 is a `hidden beast` number, since 31 + 98 + 50 + 480 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128455 + ... + 283673.

It is an arithmetic number, because the mean of its divisors is an integer number (788176116).

Almost surely, 2^31985048016 is an apocalyptic number.

31985048016 is a gapful number since it is divisible by the number (36) 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 31985048016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47290566960).

31985048016 is an abundant number, since it is smaller than the sum of its proper divisors (62596085904).

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

31985048016 is a wasteful number, since it uses less digits than its factorization.

31985048016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155295 (or 155277 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 31985048016 in words is "thirty-one billion, nine hundred eighty-five million, forty-eight thousand, sixteen".