44784269331025 has 81 divisors (see below), whose sum is σ = 65546023128753. Its totient is φ = 30265446388800.

The previous prime is 44784269331023. The next prime is 44784269331041. The reversal of 44784269331025 is 52013396248744.

The square root of 44784269331025 is 6692105.

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 2369164345681 + 42415104985344 = 1539209^2 + 6512688^2 .

It is not a de Polignac number, because 44784269331025 - 2¹ = 44784269331023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44784269331023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16629879579 + ... + 16629882271.

It is a 1-persistent number, because it is pandigital, but 2⋅44784269331025 = 89568538662050 is not.

Almost surely, 2^{44784269331025} is an apocalyptic number.

44784269331025 is the 6692105-th square number.

44784269331025 is the 3346053-rd centered octagonal number.

It is an amenable number.

44784269331025 is a deficient number, since it is larger than the sum of its proper divisors (20761753797728).

44784269331025 is an frugal number, since it uses more digits than its factorization.

44784269331025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5552 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 58.

The spelling of 44784269331025 in words is "forty-four trillion, seven hundred eighty-four billion, two hundred sixty-nine million, three hundred thirty-one thousand, twenty-five".