31009044444456 has 192 divisors, whose sum is σ = 87301071244800. Its totient is φ = 9123527609856.

The previous prime is 31009044444409. The next prime is 31009044444467. The reversal of 31009044444456 is 65444444090013.

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, 554368266 + ... + 554424198.

It is an arithmetic number, because the mean of its divisors is an integer number (454693079400).

Almost surely, 2^{31009044444456} 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 31009044444456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43650535622400).

31009044444456 is an abundant number, since it is smaller than the sum of its proper divisors (56292026800344).

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

31009044444456 is a wasteful number, since it uses less digits than its factorization.

31009044444456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59360 (or 59333 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 31009044444456 in words is "thirty-one trillion, nine billion, forty-four million, four hundred forty-four thousand, four hundred fifty-six".