10044248841 has 27 divisors (see below), whose sum is σ = 15952457703. Its totient is φ = 6085419120.

The previous prime is 10044248827. The next prime is 10044248843. The reversal of 10044248841 is 14884244001.

The square root of 10044248841 is 100221.

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

It can be written as a sum of positive squares in only one way, i.e., 8507295225 + 1536953616 = 92235^2 + 39204^2 .

It is not a de Polignac number, because 10044248841 - 2¹³ = 10044240649 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10044248796 and 10044248805.

It is not an unprimeable number, because it can be changed into a prime (10044248843) 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, 3305775 + ... + 3308811.

Almost surely, 2^10044248841 is an apocalyptic number.

10044248841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10044248841 is the 100221-st square number.

10044248841 is the 50111-st centered octagonal number.

It is an amenable number.

10044248841 is a deficient number, since it is larger than the sum of its proper divisors (5908208862).

10044248841 is an frugal number, since it uses more digits than its factorization.

10044248841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6102 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Multiplying 10044248841 by its sum of digits (36), we get a square (361592958276 = 601326²).

The spelling of 10044248841 in words is "ten billion, forty-four million, two hundred forty-eight thousand, eight hundred forty-one".