30471294246561 has 81 divisors (see below), whose sum is σ = 51840735287601. Its totient is φ = 17196951222864.

The previous prime is 30471294246553. The next prime is 30471294246581. The reversal of 30471294246561 is 16564249217403.

The square root of 30471294246561 is 5520081.

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

30471294246561 is a `hidden beast` number, since 3 + 0 + 4 + 71 + 2 + 9 + 4 + 2 + 4 + 6 + 561 = 666.

It is not a de Polignac number, because 30471294246561 - 2³ = 30471294246553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30471294246498 and 30471294246507.

It is not an unprimeable number, because it can be changed into a prime (30471294246541) 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, 9621499600 + ... + 9621502766.

Almost surely, 2^{30471294246561} is an apocalyptic number.

30471294246561 is the 5520081-st square number.

30471294246561 is the 2760041-st centered octagonal number.

It is an amenable number.

30471294246561 is a deficient number, since it is larger than the sum of its proper divisors (21369441041040).

30471294246561 is an frugal number, since it uses more digits than its factorization.

30471294246561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6520 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 30471294246561 in words is "thirty trillion, four hundred seventy-one billion, two hundred ninety-four million, two hundred forty-six thousand, five hundred sixty-one".