465500319164160 has 288 divisors, whose sum is σ = 1699250836588032. Its totient is φ = 106389134622720.

The previous prime is 465500319164141. The next prime is 465500319164161. The reversal of 465500319164160 is 61461913005564.

It is a super-2 number, since 2×465500319164160² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465500319164161) 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, 262028007 + ... + 263798553.

Almost surely, 2^{465500319164160} is an apocalyptic number.

465500319164160 is a gapful number since it is divisible by the number (40) 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 465500319164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849625418294016).

465500319164160 is an abundant number, since it is smaller than the sum of its proper divisors (1233750517423872).

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

465500319164160 is a wasteful number, since it uses less digits than its factorization.

465500319164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780359 (or 1780345 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 465500319164160 in words is "four hundred sixty-five trillion, five hundred billion, three hundred nineteen million, one hundred sixty-four thousand, one hundred sixty".