465244505442564 has 48 divisors (see below), whose sum is σ = 1114918205388288. Its totient is φ = 150889034055168.

The previous prime is 465244505442523. The next prime is 465244505442569.

465244505442564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 465244505442498 and 465244505442507.

It is not an unprimeable number, because it can be changed into a prime (465244505442569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59824909 + ... + 67152875.

It is an arithmetic number, because the mean of its divisors is an integer number (23227462612256).

Almost surely, 2^{465244505442564} is an apocalyptic number.

It is an amenable number.

465244505442564 is an abundant number, since it is smaller than the sum of its proper divisors (649673699945724).

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

465244505442564 is a wasteful number, since it uses less digits than its factorization.

465244505442564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7471004 (or 7471002 counting only the distinct ones).

The product of its (nonzero) digits is 368640000, while the sum is 60.

The spelling of 465244505442564 in words is "four hundred sixty-five trillion, two hundred forty-four billion, five hundred five million, four hundred forty-two thousand, five hundred sixty-four".