413446263531561 has 128 divisors (see below), whose sum is σ = 706132118361600. Its totient is φ = 236829190348800.

The previous prime is 413446263531547. The next prime is 413446263531563. The reversal of 413446263531561 is 165135362644314.

413446263531561 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 4 + 6 + 26 + 3 + 53 + 1 + 561 = 666.

It is not a de Polignac number, because 413446263531561 - 2¹⁴ = 413446263515177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413446263531498 and 413446263531507.

It is not an unprimeable number, because it can be changed into a prime (413446263531563) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 383181135 + ... + 384258603.

It is an arithmetic number, because the mean of its divisors is an integer number (5516657174700).

Almost surely, 2^{413446263531561} is an apocalyptic number.

It is an amenable number.

413446263531561 is a deficient number, since it is larger than the sum of its proper divisors (292685854830039).

413446263531561 is a wasteful number, since it uses less digits than its factorization.

413446263531561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078216 (or 1078210 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 413446263531561 in words is "four hundred thirteen trillion, four hundred forty-six billion, two hundred sixty-three million, five hundred thirty-one thousand, five hundred sixty-one".