44047038048768 has 640 divisors, whose sum is σ = 141063967756800. Its totient is φ = 13528742363136.

The previous prime is 44047038048733. The next prime is 44047038048773. The reversal of 44047038048768 is 86784083074044.

44047038048768 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 70 + 3 + 80 + 487 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4213812630 + ... + 4213823082.

It is an arithmetic number, because the mean of its divisors is an integer number (220412449620).

Almost surely, 2^{44047038048768} is an apocalyptic number.

44047038048768 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 44047038048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70531983878400).

44047038048768 is an abundant number, since it is smaller than the sum of its proper divisors (97016929708032).

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

44047038048768 is a wasteful number, since it uses less digits than its factorization.

44047038048768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10989 (or 10967 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 63.

The spelling of 44047038048768 in words is "forty-four trillion, forty-seven billion, thirty-eight million, forty-eight thousand, seven hundred sixty-eight".