30131474688 has 288 divisors, whose sum is σ = 103135334400. Its totient is φ = 8498939904.

The previous prime is 30131474663. The next prime is 30131474707. The reversal of 30131474688 is 88647413103.

30131474688 is a `hidden beast` number, since 30 + 13 + 147 + 468 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3818395 + ... + 3826277.

It is an arithmetic number, because the mean of its divisors is an integer number (358108800).

Almost surely, 2^30131474688 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 30131474688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51567667200).

30131474688 is an abundant number, since it is smaller than the sum of its proper divisors (73003859712).

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

30131474688 is an equidigital number, since it uses as much as digits as its factorization.

30131474688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7994 (or 7974 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 30131474688 in words is "thirty billion, one hundred thirty-one million, four hundred seventy-four thousand, six hundred eighty-eight".