45749733120 has 1080 divisors, whose sum is σ = 203128190496. Its totient is φ = 9626812416.

The previous prime is 45749733077. The next prime is 45749733137. The reversal of 45749733120 is 2133794754.

45749733120 is a `hidden beast` number, since 4 + 5 + 7 + 497 + 33 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 122653254 + ... + 122653626.

Almost surely, 2^45749733120 is an apocalyptic number.

45749733120 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 45749733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101564095248).

45749733120 is an abundant number, since it is smaller than the sum of its proper divisors (157378457376).

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

45749733120 is a wasteful number, since it uses less digits than its factorization.

45749733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 45749733120 in words is "forty-five billion, seven hundred forty-nine million, seven hundred thirty-three thousand, one hundred twenty".