44850827964096 has 896 divisors, whose sum is σ = 180060487833600. Its totient is φ = 10586202439680.

The previous prime is 44850827964083. The next prime is 44850827964119. The reversal of 44850827964096 is 69046972805844.

44850827964096 is a `hidden beast` number, since 4 + 4 + 8 + 50 + 82 + 7 + 96 + 409 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65254740 + ... + 65938476.

Almost surely, 2^{44850827964096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44850827964096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90030243916800).

44850827964096 is an abundant number, since it is smaller than the sum of its proper divisors (135209659869504).

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

44850827964096 is a wasteful number, since it uses less digits than its factorization.

44850827964096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683822 (or 683806 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 44850827964096 in words is "forty-four trillion, eight hundred fifty billion, eight hundred twenty-seven million, nine hundred sixty-four thousand, ninety-six".