465889518721 has 15 divisors (see below), whose sum is σ = 512566152915. Its totient is φ = 423460844400.

The previous prime is 465889518707. The next prime is 465889518761. The reversal of 465889518721 is 127815988564.

The square root of 465889518721 is 682561.

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

It can be written as a sum of positive squares in only one way, i.e., 460618758721 + 5270760000 = 678689^2 + 72600^2 .

It is not a de Polignac number, because 465889518721 - 2²⁷ = 465755300993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (465889518761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 82587061 + ... + 82592701.

It is an arithmetic number, because the mean of its divisors is an integer number (34171076861).

Almost surely, 2^465889518721 is an apocalyptic number.

465889518721 is the 682561-st square number.

465889518721 is the 341281-st centered octagonal number.

It is an amenable number.

465889518721 is a deficient number, since it is larger than the sum of its proper divisors (46676634194).

465889518721 is an frugal number, since it uses more digits than its factorization.

465889518721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11326 (or 5652 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 64.

Multiplying 465889518721 by its sum of digits (64), we get a square (29816929198144 = 5460488²).

The spelling of 465889518721 in words is "four hundred sixty-five billion, eight hundred eighty-nine million, five hundred eighteen thousand, seven hundred twenty-one".