465987364332336 has 600 divisors, whose sum is σ = 1725671310034320. Its totient is φ = 121035657093120.

The previous prime is 465987364332227. The next prime is 465987364332337. The reversal of 465987364332336 is 633233463789564.

465987364332336 is a `hidden beast` number, since 4 + 6 + 5 + 98 + 73 + 6 + 433 + 2 + 3 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (465987364332337) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 81767280 + ... + 87280368.

Almost surely, 2^{465987364332336} 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 465987364332336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862835655017160).

465987364332336 is an abundant number, since it is smaller than the sum of its proper divisors (1259683945701984).

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

465987364332336 is a wasteful number, since it uses less digits than its factorization.

465987364332336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5513156 (or 5513112 counting only the distinct ones).

The product of its digits is 4232632320, while the sum is 72.

The spelling of 465987364332336 in words is "four hundred sixty-five trillion, nine hundred eighty-seven billion, three hundred sixty-four million, three hundred thirty-two thousand, three hundred thirty-six".