461388166082704 has 135 divisors (see below), whose sum is σ = 1047613745832147. Its totient is φ = 196279640673984.

The previous prime is 461388166082629. The next prime is 461388166082707. The reversal of 461388166082704 is 407280661883164.

The square root of 461388166082704 is 21479948.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461388166082707) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 83599954857 + ... + 83599960375.

Almost surely, 2^{461388166082704} is an apocalyptic number.

461388166082704 is the 21479948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461388166082704

461388166082704 is an abundant number, since it is smaller than the sum of its proper divisors (586225579749443).

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

461388166082704 is an frugal number, since it uses more digits than its factorization.

461388166082704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11338 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 64.

The spelling of 461388166082704 in words is "four hundred sixty-one trillion, three hundred eighty-eight billion, one hundred sixty-six million, eighty-two thousand, seven hundred four".