31438549808960 has 112 divisors (see below), whose sum is σ = 85575805032960. Its totient is φ = 10776658944000.

The previous prime is 31438549808849. The next prime is 31438549809013. The reversal of 31438549808960 is 6980894583413.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9165176 + ... + 12119304.

Almost surely, 2^{31438549808960} 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 31438549808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42787902516480).

31438549808960 is an abundant number, since it is smaller than the sum of its proper divisors (54137255224000).

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

31438549808960 is a wasteful number, since it uses less digits than its factorization.

31438549808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958904 (or 2958894 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 68.

The spelling of 31438549808960 in words is "thirty-one trillion, four hundred thirty-eight billion, five hundred forty-nine million, eight hundred eight thousand, nine hundred sixty".