44458144201 has 27 divisors (see below), whose sum is σ = 48139149429. Its totient is φ = 41050159488.

The previous prime is 44458144189. The next prime is 44458144207. The reversal of 44458144201 is 10244185444.

The square root of 44458144201 is 210851.

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

It can be written as a sum of positive squares in 4 ways, for example, as 299324601 + 44158819600 = 17301^2 + 210140^2 .

It is not a de Polignac number, because 44458144201 - 2²³ = 44449755593 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44458144207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 283172815 + ... + 283172971.

Almost surely, 2^44458144201 is an apocalyptic number.

44458144201 is the 210851-st square number.

44458144201 is the 105426-th centered octagonal number.

It is an amenable number.

44458144201 is a deficient number, since it is larger than the sum of its proper divisors (3681005228).

44458144201 is an frugal number, since it uses more digits than its factorization.

44458144201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 37.

The spelling of 44458144201 in words is "forty-four billion, four hundred fifty-eight million, one hundred forty-four thousand, two hundred one".