41823113049 has 45 divisors (see below), whose sum is σ = 64645077519. Its totient is φ = 26945842320.

The previous prime is 41823113047. The next prime is 41823113051. The reversal of 41823113049 is 94031132814.

The square root of 41823113049 is 204507.

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

41823113049 is a `hidden beast` number, since 418 + 231 + 1 + 3 + 0 + 4 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (41823113047) and next prime (41823113051).

It can be written as a sum of positive squares in only one way, i.e., 40915175625 + 907937424 = 202275^2 + 30132^2 .

It is not a de Polignac number, because 41823113049 - 2¹ = 41823113047 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41823113047) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 57057087 + ... + 57057819.

Almost surely, 2^41823113049 is an apocalyptic number.

41823113049 is the 204507-th square number.

41823113049 is the 102254-th centered octagonal number.

It is an amenable number.

41823113049 is a deficient number, since it is larger than the sum of its proper divisors (22821964470).

41823113049 is an frugal number, since it uses more digits than its factorization.

41823113049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 41823113049 by its sum of digits (36), we get a square (1505632069764 = 1227042²).

Multiplying 41823113049 by its product of nonzero digits (20736), we get a square (867244072184064 = 29449008²).

The spelling of 41823113049 in words is "forty-one billion, eight hundred twenty-three million, one hundred thirteen thousand, forty-nine".