465285582564 has 24 divisors (see below), whose sum is σ = 1184363301408. Its totient is φ = 140995631040.

The previous prime is 465285582527. The next prime is 465285582577.

465285582564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 465285582498 and 465285582507.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1762445257 + ... + 1762445520.

It is an arithmetic number, because the mean of its divisors is an integer number (49348470892).

Almost surely, 2^465285582564 is an apocalyptic number.

465285582564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465285582564 is an abundant number, since it is smaller than the sum of its proper divisors (719077718844).

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

465285582564 is a wasteful number, since it uses less digits than its factorization.

465285582564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524890795 (or 3524890793 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 60.

The spelling of 465285582564 in words is "four hundred sixty-five billion, two hundred eighty-five million, five hundred eighty-two thousand, five hundred sixty-four".