45038165760 has 648 divisors, whose sum is σ = 189204331680. Its totient is φ = 9844015104.

The previous prime is 45038165747. The next prime is 45038165779. The reversal of 45038165760 is 6756183054.

45038165760 is a `hidden beast` number, since 4 + 503 + 81 + 6 + 5 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 12981306 + ... + 12984774.

Almost surely, 2^45038165760 is an apocalyptic number.

45038165760 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 45038165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94602165840).

45038165760 is an abundant number, since it is smaller than the sum of its proper divisors (144166165920).

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

45038165760 is a wasteful number, since it uses less digits than its factorization.

45038165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 45038165760 in words is "forty-five billion, thirty-eight million, one hundred sixty-five thousand, seven hundred sixty".