30913496875008 has 810 divisors, whose sum is σ = 103678362269328. Its totient is φ = 9168412999680.

The previous prime is 30913496874977. The next prime is 30913496875031. The reversal of 30913496875008 is 80057869431903.

30913496875008 is a `hidden beast` number, since 3 + 0 + 9 + 1 + 3 + 49 + 6 + 87 + 500 + 8 = 666.

It is a super-2 number, since 2×30913496875008² (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 (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 657733976041 + ... + 657733976087.

Almost surely, 2^{30913496875008} 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 30913496875008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51839181134664).

30913496875008 is an abundant number, since it is smaller than the sum of its proper divisors (72764865394320).

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

30913496875008 is an frugal number, since it uses more digits than its factorization.

30913496875008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 30913496875008 in words is "thirty trillion, nine hundred thirteen billion, four hundred ninety-six million, eight hundred seventy-five thousand, eight".