45567594240 has 288 divisors, whose sum is σ = 176107115520. Its totient is φ = 9802678272.

The previous prime is 45567594169. The next prime is 45567594263. The reversal of 45567594240 is 4249576554.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407101 + ... + 506819.

It is an arithmetic number, because the mean of its divisors is an integer number (611483040).

Almost surely, 2^45567594240 is an apocalyptic number.

45567594240 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 45567594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88053557760).

45567594240 is an abundant number, since it is smaller than the sum of its proper divisors (130539521280).

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

45567594240 is a wasteful number, since it uses less digits than its factorization.

45567594240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99767 (or 99753 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 45567594240 in words is "forty-five billion, five hundred sixty-seven million, five hundred ninety-four thousand, two hundred forty".