465235787532564 has 72 divisors (see below), whose sum is σ = 1176347664011520. Its totient is φ = 155034426762432.

The previous prime is 465235787532541. The next prime is 465235787532587.

It is a happy number.

465235787532564 is a `hidden beast` number, since 4 + 6 + 5 + 2 + 3 + 5 + 7 + 8 + 7 + 53 + 2 + 564 = 666.

465235787532564 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (465235787532541) and next prime (465235787532587).

It is a junction number, because it is equal to n+sod(n) for n = 465235787532492 and 465235787532501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3347938117 + ... + 3348077075.

It is an arithmetic number, because the mean of its divisors is an integer number (16338162000160).

Almost surely, 2^{465235787532564} is an apocalyptic number.

It is an amenable number.

465235787532564 is an abundant number, since it is smaller than the sum of its proper divisors (711111876478956).

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

465235787532564 is a wasteful number, since it uses less digits than its factorization.

465235787532564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164789 (or 164784 counting only the distinct ones).

The product of its digits is 5080320000, while the sum is 72.

The spelling of 465235787532564 in words is "four hundred sixty-five trillion, two hundred thirty-five billion, seven hundred eighty-seven million, five hundred thirty-two thousand, five hundred sixty-four".