31248744369216 has 336 divisors, whose sum is σ = 92407963845120. Its totient is φ = 9310087987200.

The previous prime is 31248744369181. The next prime is 31248744369221. The reversal of 31248744369216 is 61296344784213.

It is a self number, because there is not a number n which added to its sum of digits gives 31248744369216.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5919441265 + ... + 5919446543.

It is an arithmetic number, because the mean of its divisors is an integer number (275023701920).

Almost surely, 2^{31248744369216} 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 31248744369216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46203981922560).

31248744369216 is an abundant number, since it is smaller than the sum of its proper divisors (61159219475904).

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

31248744369216 is a wasteful number, since it uses less digits than its factorization.

31248744369216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9554 (or 9533 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 31248744369216 in words is "thirty-one trillion, two hundred forty-eight billion, seven hundred forty-four million, three hundred sixty-nine thousand, two hundred sixteen".