31081193472 has 448 divisors, whose sum is σ = 102796116480. Its totient is φ = 8153726976.

The previous prime is 31081193467. The next prime is 31081193573. The reversal of 31081193472 is 27439118013.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 31081193472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120938368 + ... + 120938624.

Almost surely, 2^31081193472 is an apocalyptic number.

31081193472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31081193472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51398058240).

31081193472 is an abundant number, since it is smaller than the sum of its proper divisors (71714923008).

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

31081193472 is a wasteful number, since it uses less digits than its factorization.

31081193472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 31081193472 in words is "thirty-one billion, eighty-one million, one hundred ninety-three thousand, four hundred seventy-two".