465347722896 has 225 divisors, whose sum is σ = 1567324400499. Its totient is φ = 132907376448.

The previous prime is 465347722831. The next prime is 465347722909. The reversal of 465347722896 is 698227743564.

The square root of 465347722896 is 682164.

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

465347722896 is a `hidden beast` number, since 4 + 6 + 5 + 347 + 7 + 2 + 289 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 171903975 + ... + 171906681.

Almost surely, 2^465347722896 is an apocalyptic number.

465347722896 is the 682164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465347722896

465347722896 is an abundant number, since it is smaller than the sum of its proper divisors (1101976677603).

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

465347722896 is an frugal number, since it uses more digits than its factorization.

465347722896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 2719 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 465347722896 in words is "four hundred sixty-five billion, three hundred forty-seven million, seven hundred twenty-two thousand, eight hundred ninety-six".