465313822045956 has 81 divisors (see below), whose sum is σ = 1273652054259039. Its totient is φ = 143172965999232.

The previous prime is 465313822045951. The next prime is 465313822045993. The reversal of 465313822045956 is 659540228313564.

The square root of 465313822045956 is 21571134.

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

465313822045956 is a `hidden beast` number, since 4 + 6 + 5 + 3 + 1 + 38 + 2 + 2 + 0 + 4 + 595 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76843913116356 + 388469908929600 = 8766066^2 + 19709640^2 .

It is a junction number, because it is equal to n+sod(n) for n = 465313822045893 and 465313822045902.

It is not an unprimeable number, because it can be changed into a prime (465313822045951) 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, 1682410176 + ... + 1682686728.

Almost surely, 2^{465313822045956} is an apocalyptic number.

465313822045956 is the 21571134-th square number.

It is an amenable number.

465313822045956 is an abundant number, since it is smaller than the sum of its proper divisors (808338232213083).

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

465313822045956 is an frugal number, since it uses more digits than its factorization.

465313822045956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553142 (or 276571 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 63.

The spelling of 465313822045956 in words is "four hundred sixty-five trillion, three hundred thirteen billion, eight hundred twenty-two million, forty-five thousand, nine hundred fifty-six".