45584187264 has 576 divisors, whose sum is σ = 172689753600. Its totient is φ = 11835694080.

The previous prime is 45584187241. The next prime is 45584187289. The reversal of 45584187264 is 46278148554.

45584187264 is a `hidden beast` number, since 4 + 558 + 4 + 1 + 87 + 2 + 6 + 4 = 666.

45584187264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45584187264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16763697 + ... + 16766415.

It is an arithmetic number, because the mean of its divisors is an integer number (299808600).

Almost surely, 2^45584187264 is an apocalyptic number.

45584187264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45584187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86344876800).

45584187264 is an abundant number, since it is smaller than the sum of its proper divisors (127105566336).

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

45584187264 is a wasteful number, since it uses less digits than its factorization.

45584187264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2742 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 45584187264 in words is "forty-five billion, five hundred eighty-four million, one hundred eighty-seven thousand, two hundred sixty-four".