44466382058112 has 768 divisors, whose sum is σ = 150014137777920. Its totient is φ = 12381349478400.

The previous prime is 44466382058053. The next prime is 44466382058209. The reversal of 44466382058112 is 21185028366444.

44466382058112 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 6 + 38 + 20 + 581 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26674493503 + ... + 26674495169.

It is an arithmetic number, because the mean of its divisors is an integer number (195330908565).

Almost surely, 2^{44466382058112} is an apocalyptic number.

44466382058112 is a gapful number since it is divisible by the number (42) 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 44466382058112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75007068888960).

44466382058112 is an abundant number, since it is smaller than the sum of its proper divisors (105547755719808).

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

44466382058112 is a wasteful number, since it uses less digits than its factorization.

44466382058112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 44466382058112 in words is "forty-four trillion, four hundred sixty-six billion, three hundred eighty-two million, fifty-eight thousand, one hundred twelve".