45474508800 has 1404 divisors, whose sum is σ = 203207897880. Its totient is φ = 9661317120.

The previous prime is 45474508759. The next prime is 45474508837. The reversal of 45474508800 is 880547454.

45474508800 is a `hidden beast` number, since 454 + 74 + 50 + 8 + 80 + 0 = 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 107 ways as a sum of consecutive naturals, for example, 858009574 + ... + 858009626.

It is an arithmetic number, because the mean of its divisors is an integer number (144734970).

Almost surely, 2^45474508800 is an apocalyptic number.

45474508800 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 45474508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101603948940).

45474508800 is an abundant number, since it is smaller than the sum of its proper divisors (157733389080).

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

45474508800 is a wasteful number, since it uses less digits than its factorization.

45474508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 45474508800 in words is "forty-five billion, four hundred seventy-four million, five hundred eight thousand, eight hundred".