44094855168 has 960 divisors, whose sum is σ = 170481991680. Its totient is φ = 11036196864.

The previous prime is 44094855157. The next prime is 44094855197. The reversal of 44094855168 is 86155849044.

44094855168 is a `hidden beast` number, since 4 + 40 + 9 + 4 + 85 + 516 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 347203521 + ... + 347203647.

It is an arithmetic number, because the mean of its divisors is an integer number (177585408).

Almost surely, 2^44094855168 is an apocalyptic number.

44094855168 is a gapful number since it is divisible by the number (48) 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 44094855168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85240995840).

44094855168 is an abundant number, since it is smaller than the sum of its proper divisors (126387136512).

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

44094855168 is a wasteful number, since it uses less digits than its factorization.

44094855168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 44094855168 in words is "forty-four billion, ninety-four million, eight hundred fifty-five thousand, one hundred sixty-eight".