31004066037984 has 192 divisors, whose sum is σ = 87862585918464. Its totient is φ = 9516163700736.

The previous prime is 31004066037977. The next prime is 31004066038073. The reversal of 31004066037984 is 48973066040013.

It is a super-2 number, since 2×31004066037984² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2540686027 + ... + 2540698229.

It is an arithmetic number, because the mean of its divisors is an integer number (457617634992).

Almost surely, 2^{31004066037984} 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 31004066037984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43931292959232).

31004066037984 is an abundant number, since it is smaller than the sum of its proper divisors (56858519880480).

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

31004066037984 is a wasteful number, since it uses less digits than its factorization.

31004066037984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17089 (or 17081 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 31004066037984 in words is "thirty-one trillion, four billion, sixty-six million, thirty-seven thousand, nine hundred eighty-four".