465351153564 has 96 divisors (see below), whose sum is σ = 1196668569600. Its totient is φ = 139571424000.

The previous prime is 465351153559. The next prime is 465351153599.

465351153564 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×465351153564² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66963162 + ... + 66970110.

It is an arithmetic number, because the mean of its divisors is an integer number (12465297600).

Almost surely, 2^465351153564 is an apocalyptic number.

465351153564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465351153564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598334284800).

465351153564 is an abundant number, since it is smaller than the sum of its proper divisors (731317416036).

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

465351153564 is a wasteful number, since it uses less digits than its factorization.

465351153564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12091 (or 12089 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 48.

The spelling of 465351153564 in words is "four hundred sixty-five billion, three hundred fifty-one million, one hundred fifty-three thousand, five hundred sixty-four".