44714112961056 has 768 divisors, whose sum is σ = 157138015813632. Its totient is φ = 10787389747200.

The previous prime is 44714112961027. The next prime is 44714112961081. The reversal of 44714112961056 is 65016921141744.

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, 3289972821 + ... + 3289986411.

It is an arithmetic number, because the mean of its divisors is an integer number (204606791424).

Almost surely, 2^{44714112961056} is an apocalyptic number.

44714112961056 is a gapful number since it is divisible by the number (46) 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 44714112961056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78569007906816).

44714112961056 is an abundant number, since it is smaller than the sum of its proper divisors (112423902852576).

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

44714112961056 is a wasteful number, since it uses less digits than its factorization.

44714112961056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14205 (or 14197 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 44714112961056 in words is "forty-four trillion, seven hundred fourteen billion, one hundred twelve million, nine hundred sixty-one thousand, fifty-six".