461612621536641 has 24 divisors (see below), whose sum is σ = 666969833129600. Its totient is φ = 307651267613376.

The previous prime is 461612621536621. The next prime is 461612621536663. The reversal of 461612621536641 is 146635126216164.

461612621536641 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 1 + 2 + 62 + 1 + 536 + 6 + 41 = 666.

It is not a de Polignac number, because 461612621536641 - 2²⁵ = 461612587982209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (461612621536621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3760744716 + ... + 3760867458.

Almost surely, 2^{461612621536641} is an apocalyptic number.

It is an amenable number.

461612621536641 is a deficient number, since it is larger than the sum of its proper divisors (205357211592959).

461612621536641 is a wasteful number, since it uses less digits than its factorization.

461612621536641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242205 (or 242202 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 461612621536641 in words is "four hundred sixty-one trillion, six hundred twelve billion, six hundred twenty-one million, five hundred thirty-six thousand, six hundred forty-one".