31066591968 has 288 divisors, whose sum is σ = 95389781760. Its totient is φ = 9568419840.

The previous prime is 31066591957. The next prime is 31066591981. The reversal of 31066591968 is 86919566013.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×31066591968² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25113846 + ... + 25115082.

It is an arithmetic number, because the mean of its divisors is an integer number (331214520).

Almost surely, 2^31066591968 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 31066591968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47694890880).

31066591968 is an abundant number, since it is smaller than the sum of its proper divisors (64323189792).

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

31066591968 is a wasteful number, since it uses less digits than its factorization.

31066591968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 31066591968 in words is "thirty-one billion, sixty-six million, five hundred ninety-one thousand, nine hundred sixty-eight".