465536291064 has 128 divisors (see below), whose sum is σ = 1319649408000. Its totient is φ = 135670408704.

The previous prime is 465536291047. The next prime is 465536291069. The reversal of 465536291064 is 460192635564.

It is a junction number, because it is equal to n+sod(n) for n = 465536290998 and 465536291016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465536291069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37156369 + ... + 37168895.

It is an arithmetic number, because the mean of its divisors is an integer number (10309761000).

Almost surely, 2^465536291064 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 465536291064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659824704000).

465536291064 is an abundant number, since it is smaller than the sum of its proper divisors (854113116936).

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

465536291064 is a wasteful number, since it uses less digits than its factorization.

465536291064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18837 (or 18833 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 465536291064 in words is "four hundred sixty-five billion, five hundred thirty-six million, two hundred ninety-one thousand, sixty-four".