465862216681 has 9 divisors (see below), whose sum is σ = 471216881541. Its totient is φ = 460567746144.

The previous prime is 465862216669. The next prime is 465862216691. The reversal of 465862216681 is 186612268564.

The square root of 465862216681 is 682541.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23131672281 + 442730544400 = 152091^2 + 665380^2 .

It is not a de Polignac number, because 465862216681 - 2²⁹ = 465325345769 is a prime.

It is a super-2 number, since 2×465862216681² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (465862216661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60742315 + ... + 60749983.

Almost surely, 2^465862216681 is an apocalyptic number.

465862216681 is the 682541-st square number.

465862216681 is the 341271-st centered octagonal number.

It is an amenable number.

465862216681 is a deficient number, since it is larger than the sum of its proper divisors (5354664860).

465862216681 is an frugal number, since it uses more digits than its factorization.

465862216681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15516 (or 7758 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 55.

The spelling of 465862216681 in words is "four hundred sixty-five billion, eight hundred sixty-two million, two hundred sixteen thousand, six hundred eighty-one".