930931663104 has 81 divisors (see below), whose sum is σ = 2684239022829. Its totient is φ = 310295116800.

The previous prime is 930931663069. The next prime is 930931663121. The reversal of 930931663104 is 401366139039.

The square root of 930931663104 is 964848.

It is a perfect power (a square), and thus also a powerful number.

930931663104 is a `hidden beast` number, since 9 + 3 + 0 + 9 + 3 + 1 + 6 + 631 + 0 + 4 = 666.

930931663104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 312758325504 + 618173337600 = 559248^2 + 786240^2 .

It is a super-2 number, since 2×930931663104² (a number of 25 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 930931663104.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46302654 + ... + 46322754.

Almost surely, 2^930931663104 is an apocalyptic number.

930931663104 is the 964848-th square number.

It is an amenable number.

930931663104 is an abundant number, since it is smaller than the sum of its proper divisors (1753307359725).

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

930931663104 is an frugal number, since it uses more digits than its factorization.

930931663104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40224 (or 20106 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 930931663104 in words is "nine hundred thirty billion, nine hundred thirty-one million, six hundred sixty-three thousand, one hundred four".