45584370000 has 1050 divisors, whose sum is σ = 184021080342. Its totient is φ = 10917504000.

The previous prime is 45584369953. The next prime is 45584370001. The reversal of 45584370000 is 7348554.

45584370000 is a `hidden beast` number, since 4 + 5 + 584 + 3 + 70 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 15 ways, for example, as 45450828864 + 133541136 = 213192^2 + 11556^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45584370001) by changing a digit.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 1232009982 + ... + 1232010018.

Almost surely, 2^45584370000 is an apocalyptic number.

45584370000 is a gapful number since it is divisible by the number (40) 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 45584370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92010540171).

45584370000 is an abundant number, since it is smaller than the sum of its proper divisors (138436710342).

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

45584370000 is an equidigital number, since it uses as much as digits as its factorization.

45584370000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 45584370000 in words is "forty-five billion, five hundred eighty-four million, three hundred seventy thousand".