30582664641 has 81 divisors (see below), whose sum is σ = 49115437059. Its totient is φ = 19038027456.

The previous prime is 30582664601. The next prime is 30582664649. The reversal of 30582664641 is 14646628503.

The square root of 30582664641 is 174879.

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

30582664641 is a `hidden beast` number, since 3 + 0 + 582 + 6 + 6 + 4 + 64 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23810033025 + 6772631616 = 154305^2 + 82296^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 30582664641 - 2⁹ = 30582664129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30582664649) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 240808320 + ... + 240808446.

Almost surely, 2^30582664641 is an apocalyptic number.

30582664641 is the 174879-th square number.

30582664641 is the 87440-th centered octagonal number.

It is an amenable number.

30582664641 is a deficient number, since it is larger than the sum of its proper divisors (18532772418).

30582664641 is an frugal number, since it uses more digits than its factorization.

30582664641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 30582664641 in words is "thirty billion, five hundred eighty-two million, six hundred sixty-four thousand, six hundred forty-one".