413370664847361 has 81 divisors (see below), whose sum is σ = 654941192528259. Its totient is φ = 251123862341664.

The previous prime is 413370664847291. The next prime is 413370664847363. The reversal of 413370664847361 is 163748466073314.

The square root of 413370664847361 is 20331519.

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

413370664847361 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 7 + 0 + 66 + 48 + 473 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61149506634225 + 352221158213136 = 7819815^2 + 18767556^2 .

It is not a de Polignac number, because 413370664847361 - 2³¹ = 413368517363713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413370664847363) 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, 62641406740 + ... + 62641413338.

Almost surely, 2^{413370664847361} is an apocalyptic number.

413370664847361 is the 20331519-th square number.

413370664847361 is the 10165760-th centered octagonal number.

It is an amenable number.

413370664847361 is a deficient number, since it is larger than the sum of its proper divisors (241570527680898).

413370664847361 is an frugal number, since it uses more digits than its factorization.

413370664847361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13388 (or 6694 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 413370664847361 in words is "four hundred thirteen trillion, three hundred seventy billion, six hundred sixty-four million, eight hundred forty-seven thousand, three hundred sixty-one".