45285187584 has 224 divisors, whose sum is σ = 148626576000. Its totient is φ = 11942756352.

The previous prime is 45285187573. The next prime is 45285187601. The reversal of 45285187584 is 48578158254.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2226292 + ... + 2246540.

It is an arithmetic number, because the mean of its divisors is an integer number (663511500).

Almost surely, 2^45285187584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45285187584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74313288000).

45285187584 is an abundant number, since it is smaller than the sum of its proper divisors (103341388416).

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

45285187584 is a wasteful number, since it uses less digits than its factorization.

45285187584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20298 (or 20274 counting only the distinct ones).

The product of its digits is 14336000, while the sum is 57.

The spelling of 45285187584 in words is "forty-five billion, two hundred eighty-five million, one hundred eighty-seven thousand, five hundred eighty-four".