45752099896944 has 480 divisors, whose sum is σ = 156478784716800. Its totient is φ = 12197290936320.

The previous prime is 45752099896897. The next prime is 45752099896981. The reversal of 45752099896944 is 44969899025754.

45752099896944 is a `hidden beast` number, since 4 + 5 + 7 + 520 + 9 + 9 + 89 + 6 + 9 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 664204297 + ... + 664273175.

It is an arithmetic number, because the mean of its divisors is an integer number (325997468160).

Almost surely, 2^{45752099896944} 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 45752099896944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78239392358400).

45752099896944 is an abundant number, since it is smaller than the sum of its proper divisors (110726684819856).

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

45752099896944 is a wasteful number, since it uses less digits than its factorization.

45752099896944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69693 (or 69684 counting only the distinct ones).

The product of its (nonzero) digits is 7054387200, while the sum is 81.

The spelling of 45752099896944 in words is "forty-five trillion, seven hundred fifty-two billion, ninety-nine million, eight hundred ninety-six thousand, nine hundred forty-four".