465044929440564 has 96 divisors (see below), whose sum is σ = 1215752765068800. Its totient is φ = 137112994719360.

The previous prime is 465044929440557. The next prime is 465044929440593.

465044929440564 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 465044929440495 and 465044929440504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 940113207 + ... + 940607745.

It is an arithmetic number, because the mean of its divisors is an integer number (12664091302800).

Almost surely, 2^{465044929440564} is an apocalyptic number.

465044929440564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465044929440564 is an abundant number, since it is smaller than the sum of its proper divisors (750707835628236).

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

465044929440564 is a wasteful number, since it uses less digits than its factorization.

465044929440564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687133 (or 687131 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 66.

The spelling of 465044929440564 in words is "four hundred sixty-five trillion, forty-four billion, nine hundred twenty-nine million, four hundred forty thousand, five hundred sixty-four".