44785987129 has 27 divisors (see below), whose sum is σ = 49390978797. Its totient is φ = 40591751616.

The previous prime is 44785987039. The next prime is 44785987151. The reversal of 44785987129 is 92178958744.

The square root of 44785987129 is 211627.

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 4505497129 + 40280490000 = 67123^2 + 200700^2 .

It is not a de Polignac number, because 44785987129 - 2¹¹ = 44785985081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44785987189) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 200833912 + ... + 200834134.

It is an arithmetic number, because the mean of its divisors is an integer number (1829295511).

Almost surely, 2^44785987129 is an apocalyptic number.

44785987129 is the 211627-th square number.

44785987129 is the 105814-th centered octagonal number.

It is an amenable number.

44785987129 is a deficient number, since it is larger than the sum of its proper divisors (4604991668).

44785987129 is an frugal number, since it uses more digits than its factorization.

44785987129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 309 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 64.

Multiplying 44785987129 by its sum of digits (64), we get a square (2866303176256 = 1693016²).

The spelling of 44785987129 in words is "forty-four billion, seven hundred eighty-five million, nine hundred eighty-seven thousand, one hundred twenty-nine".