45754195884165 has 48 divisors (see below), whose sum is σ = 81867023087616. Its totient is φ = 23614650259200.

The previous prime is 45754195884149. The next prime is 45754195884191. The reversal of 45754195884165 is 56148859145754.

45754195884165 is a `hidden beast` number, since 4 + 5 + 7 + 5 + 41 + 95 + 88 + 416 + 5 = 666.

It is not a de Polignac number, because 45754195884165 - 2⁴ = 45754195884149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45754195884093 and 45754195884102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88059817 + ... + 88577873.

It is an arithmetic number, because the mean of its divisors is an integer number (1705562980992).

Almost surely, 2^{45754195884165} is an apocalyptic number.

45754195884165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45754195884165 is a deficient number, since it is larger than the sum of its proper divisors (36112827203451).

45754195884165 is a wasteful number, since it uses less digits than its factorization.

45754195884165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581410 (or 581407 counting only the distinct ones).

The product of its digits is 967680000, while the sum is 72.

The spelling of 45754195884165 in words is "forty-five trillion, seven hundred fifty-four billion, one hundred ninety-five million, eight hundred eighty-four thousand, one hundred sixty-five".