461434463664100 has 36 divisors (see below), whose sum is σ = 1024599130024624. Its totient is φ = 180281371848480.

The previous prime is 461434463664091. The next prime is 461434463664149. The reversal of 461434463664100 is 1466364434164.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53655165894 + ... + 53655174493.

Almost surely, 2^{461434463664100} is an apocalyptic number.

It is an amenable number.

461434463664100 is an abundant number, since it is smaller than the sum of its proper divisors (563164666360524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461434463664100 is a wasteful number, since it uses less digits than its factorization.

461434463664100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107310340444 (or 107310340437 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 52.

The spelling of 461434463664100 in words is "four hundred sixty-one trillion, four hundred thirty-four billion, four hundred sixty-three million, six hundred sixty-four thousand, one hundred".