465106595898336 has 288 divisors, whose sum is σ = 1453843019236608. Its totient is φ = 129745560913920.

The previous prime is 465106595898323. The next prime is 465106595898353. The reversal of 465106595898336 is 633898595601564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509471661 + ... + 510383763.

It is an arithmetic number, because the mean of its divisors is an integer number (5048066039016).

Almost surely, 2^{465106595898336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465106595898336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726921509618304).

465106595898336 is an abundant number, since it is smaller than the sum of its proper divisors (988736423338272).

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

465106595898336 is a wasteful number, since it uses less digits than its factorization.

465106595898336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914694 (or 914679 counting only the distinct ones).

The product of its (nonzero) digits is 5038848000, while the sum is 78.

The spelling of 465106595898336 in words is "four hundred sixty-five trillion, one hundred six billion, five hundred ninety-five million, eight hundred ninety-eight thousand, three hundred thirty-six".