44872742458944 has 189 divisors, whose sum is σ = 131700619498539. Its totient is φ = 14607479335680.

The previous prime is 44872742458913. The next prime is 44872742458997. The reversal of 44872742458944 is 44985424727844.

The square root of 44872742458944 is 6698712.

It is a perfect power (a square), and thus also a powerful number.

44872742458944 is a `hidden beast` number, since 4 + 4 + 87 + 2 + 7 + 4 + 2 + 458 + 94 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6913067539 + ... + 6913074029.

Almost surely, 2^{44872742458944} is an apocalyptic number.

44872742458944 is the 6698712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44872742458944

44872742458944 is an abundant number, since it is smaller than the sum of its proper divisors (86827877039595).

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

44872742458944 is an frugal number, since it uses more digits than its factorization.

44872742458944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13086 (or 6539 counting only the distinct ones).

The product of its digits is 2312110080, while the sum is 72.

The spelling of 44872742458944 in words is "forty-four trillion, eight hundred seventy-two billion, seven hundred forty-two million, four hundred fifty-eight thousand, nine hundred forty-four".