461752257164 has 24 divisors (see below), whose sum is σ = 884343443088. Its totient is φ = 209216816640.

The previous prime is 461752257157. The next prime is 461752257173.

It is a happy number.

461752257164 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16750397 + ... + 16777940.

It is an arithmetic number, because the mean of its divisors is an integer number (36847643462).

Almost surely, 2^461752257164 is an apocalyptic number.

461752257164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461752257164 is a deficient number, since it is larger than the sum of its proper divisors (422591185924).

461752257164 is a wasteful number, since it uses less digits than its factorization.

461752257164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33528665 (or 33528663 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 50.

The spelling of 461752257164 in words is "four hundred sixty-one billion, seven hundred fifty-two million, two hundred fifty-seven thousand, one hundred sixty-four".