44356866865344 has 672 divisors, whose sum is σ = 145908437875200. Its totient is φ = 12752600678400.

The previous prime is 44356866865309. The next prime is 44356866865349.

It is a happy number.

44356866865344 is a `hidden beast` number, since 4 + 4 + 3 + 5 + 6 + 8 + 6 + 6 + 86 + 534 + 4 = 666.

44356866865344 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (44356866865349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25773890404 + ... + 25773892124.

It is an arithmetic number, because the mean of its divisors is an integer number (217125651600).

Almost surely, 2^{44356866865344} is an apocalyptic number.

44356866865344 is a gapful number since it is divisible by the number (44) 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 44356866865344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72954218937600).

44356866865344 is an abundant number, since it is smaller than the sum of its proper divisors (101551571009856).

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

44356866865344 is a wasteful number, since it uses less digits than its factorization.

44356866865344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3096 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 72.

The spelling of 44356866865344 in words is "forty-four trillion, three hundred fifty-six billion, eight hundred sixty-six million, eight hundred sixty-five thousand, three hundred forty-four".