44507918961 has 45 divisors (see below), whose sum is σ = 73115214249. Its totient is φ = 26961838200.

The previous prime is 44507918891. The next prime is 44507918963. The reversal of 44507918961 is 16981970544.

The square root of 44507918961 is 210969.

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

44507918961 is a `hidden beast` number, since 4 + 450 + 7 + 9 + 189 + 6 + 1 = 666.

44507918961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44507918961 - 2¹⁷ = 44507787889 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 44507918898 and 44507918907.

It is not an unprimeable number, because it can be changed into a prime (44507918963) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20884866 + ... + 20886996.

Almost surely, 2^44507918961 is an apocalyptic number.

44507918961 is the 210969-th square number.

44507918961 is the 105485-th centered octagonal number.

It is an amenable number.

44507918961 is a deficient number, since it is larger than the sum of its proper divisors (28607295288).

44507918961 is an frugal number, since it uses more digits than its factorization.

44507918961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 44507918961 in words is "forty-four billion, five hundred seven million, nine hundred eighteen thousand, nine hundred sixty-one".