465752264415360 has 128 divisors (see below), whose sum is σ = 1598784215434560. Its totient is φ = 114646711234560.

The previous prime is 465752264415353. The next prime is 465752264415437. The reversal of 465752264415360 is 63514462257564.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 465752264415294 and 465752264415303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9329948286 + ... + 9329998205.

Almost surely, 2^{465752264415360} is an apocalyptic number.

465752264415360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465752264415360 is an abundant number, since it is smaller than the sum of its proper divisors (1133031951019200).

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

465752264415360 is a wasteful number, since it uses less digits than its factorization.

465752264415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18659946526 (or 18659946514 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 60.

The spelling of 465752264415360 in words is "four hundred sixty-five trillion, seven hundred fifty-two billion, two hundred sixty-four million, four hundred fifteen thousand, three hundred sixty".