45160033814784 has 360 divisors, whose sum is σ = 154076896438080. Its totient is φ = 12887705014272.

The previous prime is 45160033814743. The next prime is 45160033814801. The reversal of 45160033814784 is 48741833006154.

45160033814784 is a `hidden beast` number, since 4 + 5 + 1 + 60 + 0 + 33 + 81 + 478 + 4 = 666.

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 45160033814784.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123632287 + ... + 123997025.

Almost surely, 2^{45160033814784} 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 45160033814784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77038448219040).

45160033814784 is an abundant number, since it is smaller than the sum of its proper divisors (108916862623296).

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

45160033814784 is an equidigital number, since it uses as much as digits as its factorization.

45160033814784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365627 (or 365604 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 45160033814784 in words is "forty-five trillion, one hundred sixty billion, thirty-three million, eight hundred fourteen thousand, seven hundred eighty-four".