31777431034104 has 576 divisors, whose sum is σ = 109707468000000. Its totient is φ = 8601317315136.

The previous prime is 31777431034093. The next prime is 31777431034147. The reversal of 31777431034104 is 40143013477713.

31777431034104 is a `hidden beast` number, since 3 + 17 + 77 + 431 + 0 + 34 + 104 = 666.

It is a super-2 number, since 2×31777431034104² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31777431034104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 342017847 + ... + 342110745.

Almost surely, 2^{31777431034104} 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 31777431034104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54853734000000).

31777431034104 is an abundant number, since it is smaller than the sum of its proper divisors (77930036965896).

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

31777431034104 is an frugal number, since it uses more digits than its factorization.

31777431034104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92969 (or 92930 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 31777431034104 in words is "thirty-one trillion, seven hundred seventy-seven billion, four hundred thirty-one million, thirty-four thousand, one hundred four".