461617753071444 has 48 divisors (see below), whose sum is σ = 1096966518560640. Its totient is φ = 151054268807680.

The previous prime is 461617753071421. The next prime is 461617753071457. The reversal of 461617753071444 is 444170357716164.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1162472889 + ... + 1162869920.

It is an arithmetic number, because the mean of its divisors is an integer number (22853469136680).

Almost surely, 2^{461617753071444} is an apocalyptic number.

It is an amenable number.

461617753071444 is an abundant number, since it is smaller than the sum of its proper divisors (635348765489196).

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

461617753071444 is a wasteful number, since it uses less digits than its factorization.

461617753071444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325343120 (or 2325343118 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 60.

The spelling of 461617753071444 in words is "four hundred sixty-one trillion, six hundred seventeen billion, seven hundred fifty-three million, seventy-one thousand, four hundred forty-four".