31294214784 has 512 divisors, whose sum is σ = 112359936000. Its totient is φ = 8375685120.

The previous prime is 31294214753. The next prime is 31294214801. The reversal of 31294214784 is 48741249213.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47343414 + ... + 47344074.

It is an arithmetic number, because the mean of its divisors is an integer number (219453000).

Almost surely, 2^31294214784 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 31294214784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56179968000).

31294214784 is an abundant number, since it is smaller than the sum of its proper divisors (81065721216).

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

31294214784 is a wasteful number, since it uses less digits than its factorization.

31294214784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 795 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 31294214784 in words is "thirty-one billion, two hundred ninety-four million, two hundred fourteen thousand, seven hundred eighty-four".