45250405200 has 1440 divisors, whose sum is σ = 218613507840. Its totient is φ = 8360755200.

The previous prime is 45250405177. The next prime is 45250405237. The reversal of 45250405200 is 250405254.

45250405200 is a `hidden beast` number, since 4 + 5 + 2 + 50 + 405 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 104504184 + ... + 104504616.

It is an arithmetic number, because the mean of its divisors is an integer number (151814936).

Almost surely, 2^45250405200 is an apocalyptic number.

45250405200 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 45250405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109306753920).

45250405200 is an abundant number, since it is smaller than the sum of its proper divisors (173363102640).

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

45250405200 is a wasteful number, since it uses less digits than its factorization.

45250405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The spelling of 45250405200 in words is "forty-five billion, two hundred fifty million, four hundred five thousand, two hundred".