45150250126400 has 168 divisors, whose sum is σ = 112036621280640. Its totient is φ = 17908020080640.

The previous prime is 45150250126379. The next prime is 45150250126439. The reversal of 45150250126400 is 462105205154.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109078229 + ... + 109491371.

It is an arithmetic number, because the mean of its divisors is an integer number (666884650480).

Almost surely, 2^{45150250126400} is an apocalyptic number.

45150250126400 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 45150250126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56018310640320).

45150250126400 is an abundant number, since it is smaller than the sum of its proper divisors (66886371154240).

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

45150250126400 is a wasteful number, since it uses less digits than its factorization.

45150250126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413741 (or 413726 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 45150250126400 in words is "forty-five trillion, one hundred fifty billion, two hundred fifty million, one hundred twenty-six thousand, four hundred".