30977408016 has 75 divisors (see below), whose sum is σ = 89675948461. Its totient is φ = 10323690624.

The previous prime is 30977408003. The next prime is 30977408023. The reversal of 30977408016 is 61080477903.

The square root of 30977408016 is 176004.

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

It can be written as a sum of positive squares in only one way, i.e., 21669017616 + 9308390400 = 147204^2 + 96480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6333700 + ... + 6338588.

Almost surely, 2^30977408016 is an apocalyptic number.

30977408016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30977408016 is the 176004-th square number.

It is an amenable number.

30977408016 is an abundant number, since it is smaller than the sum of its proper divisors (58698540445).

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

30977408016 is an frugal number, since it uses more digits than its factorization.

30977408016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9798 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 30977408016 in words is "thirty billion, nine hundred seventy-seven million, four hundred eight thousand, sixteen".