44237516974641 has 81 divisors (see below), whose sum is σ = 66343147796289. Its totient is φ = 28404683970624.

The previous prime is 44237516974571. The next prime is 44237516974649. The reversal of 44237516974641 is 14647961573244.

The square root of 44237516974641 is 6651129.

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

44237516974641 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 7 + 5 + 169 + 7 + 464 + 1 = 666.

44237516974641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1459324400625 + 42778192574016 = 1208025^2 + 6540504^2 .

It is not a de Polignac number, because 44237516974641 - 2¹³ = 44237516966449 is a prime.

It is a super-2 number, since 2×44237516974641² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44237516974649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 62394240795 + ... + 62394241503.

Almost surely, 2^{44237516974641} is an apocalyptic number.

44237516974641 is the 6651129-th square number.

44237516974641 is the 3325565-th centered octagonal number.

It is an amenable number.

44237516974641 is a deficient number, since it is larger than the sum of its proper divisors (22105630821648).

44237516974641 is an frugal number, since it uses more digits than its factorization.

44237516974641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 824 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 44237516974641 in words is "forty-four trillion, two hundred thirty-seven billion, five hundred sixteen million, nine hundred seventy-four thousand, six hundred forty-one".