30945976128 has 168 divisors, whose sum is σ = 93945651072. Its totient is φ = 10095611904.

The previous prime is 30945976099. The next prime is 30945976181. The reversal of 30945976128 is 82167954903.

30945976128 is a `hidden beast` number, since 30 + 9 + 4 + 597 + 6 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709776 + ... + 752112.

It is an arithmetic number, because the mean of its divisors is an integer number (559200304).

It is a 1-persistent number, because it is pandigital, but 2⋅30945976128 = 61891952256 is not.

Almost surely, 2^30945976128 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 30945976128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46972825536).

30945976128 is an abundant number, since it is smaller than the sum of its proper divisors (62999674944).

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

30945976128 is an equidigital number, since it uses as much as digits as its factorization.

30945976128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42411 (or 42389 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 30945976128 in words is "thirty billion, nine hundred forty-five million, nine hundred seventy-six thousand, one hundred twenty-eight".