31224299904 has 320 divisors, whose sum is σ = 106753363200. Its totient is φ = 8874593280.

The previous prime is 31224299879. The next prime is 31224299923. The reversal of 31224299904 is 40999242213.

31224299904 is a `hidden beast` number, since 312 + 242 + 9 + 9 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31224299904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15312517 + ... + 15314555.

It is an arithmetic number, because the mean of its divisors is an integer number (333604260).

Almost surely, 2^31224299904 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 31224299904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53376681600).

31224299904 is an abundant number, since it is smaller than the sum of its proper divisors (75529063296).

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

31224299904 is a wasteful number, since it uses less digits than its factorization.

31224299904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 31224299904 in words is "thirty-one billion, two hundred twenty-four million, two hundred ninety-nine thousand, nine hundred four".