45109537200 has 1440 divisors, whose sum is σ = 206136806400. Its totient is φ = 9283921920.

The previous prime is 45109537199. The next prime is 45109537217. The reversal of 45109537200 is 273590154.

45109537200 is a `hidden beast` number, since 4 + 510 + 95 + 37 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 543488359 + ... + 543488441.

It is an arithmetic number, because the mean of its divisors is an integer number (143150560).

Almost surely, 2^45109537200 is an apocalyptic number.

45109537200 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 45109537200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103068403200).

45109537200 is an abundant number, since it is smaller than the sum of its proper divisors (161027269200).

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

45109537200 is a wasteful number, since it uses less digits than its factorization.

45109537200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 45109537200 in words is "forty-five billion, one hundred nine million, five hundred thirty-seven thousand, two hundred".