44995318641 has 225 divisors, whose sum is σ = 87265718001. Its totient is φ = 23092340544.

The previous prime is 44995318583. The next prime is 44995318649. The reversal of 44995318641 is 14681359944.

The square root of 44995318641 is 212121.

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

44995318641 is a `hidden beast` number, since 4 + 49 + 9 + 531 + 8 + 64 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 186896241 + 44808422400 = 13671^2 + 211680^2 .

It is not a de Polignac number, because 44995318641 - 2²⁵ = 44961764209 is a prime.

Its product of digits (3732480) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (44995318649) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1216089675 + ... + 1216089711.

Almost surely, 2^44995318641 is an apocalyptic number.

44995318641 is the 212121-st square number.

44995318641 is the 106061-st centered octagonal number.

It is an amenable number.

44995318641 is a deficient number, since it is larger than the sum of its proper divisors (42270399360).

44995318641 is an frugal number, since it uses more digits than its factorization.

44995318641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 60 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 44995318641 in words is "forty-four billion, nine hundred ninety-five million, three hundred eighteen thousand, six hundred forty-one".