31304729973968 has 80 divisors (see below), whose sum is σ = 66487180548096. Its totient is φ = 14160639131520.

The previous prime is 31304729973943. The next prime is 31304729973989. The reversal of 31304729973968 is 86937992740313.

It is a Cunningham number, because it is equal to 5595063²-1.

It is a super-2 number, since 2×31304729973968² (a number of 28 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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44410805 + ... + 45110187.

Almost surely, 2^{31304729973968} 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 31304729973968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33243590274048).

31304729973968 is an abundant number, since it is smaller than the sum of its proper divisors (35182450574128).

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

31304729973968 is a wasteful number, since it uses less digits than its factorization.

31304729973968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700632 (or 700626 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 71.

The spelling of 31304729973968 in words is "thirty-one trillion, three hundred four billion, seven hundred twenty-nine million, nine hundred seventy-three thousand, nine hundred sixty-eight".