30930162691104 has 576 divisors, whose sum is σ = 97762352163840. Its totient is φ = 9598042460160.

The previous prime is 30930162691081. The next prime is 30930162691213. The reversal of 30930162691104 is 40119626103903.

30930162691104 is a `hidden beast` number, since 3 + 0 + 9 + 3 + 0 + 1 + 626 + 9 + 1 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30930162691104.

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 95 ways as a sum of consecutive naturals, for example, 1936394862 + ... + 1936410834.

It is an arithmetic number, because the mean of its divisors is an integer number (169726305840).

Almost surely, 2^{30930162691104} 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 30930162691104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48881176081920).

30930162691104 is an abundant number, since it is smaller than the sum of its proper divisors (66832189472736).

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

30930162691104 is a wasteful number, since it uses less digits than its factorization.

30930162691104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16335 (or 16315 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 30930162691104 in words is "thirty trillion, nine hundred thirty billion, one hundred sixty-two million, six hundred ninety-one thousand, one hundred four".