41048124148161 has 27 divisors (see below), whose sum is σ = 64203867053859. Its totient is φ = 25260230326032.

The previous prime is 41048124148123. The next prime is 41048124148181. The reversal of 41048124148161 is 16184142184014.

The square root of 41048124148161 is 6406881.

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

41048124148161 is a `hidden beast` number, since 4 + 1 + 0 + 48 + 124 + 1 + 481 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6072207714225 + 34975916433936 = 2464185^2 + 5914044^2 .

It is not a de Polignac number, because 41048124148161 - 2¹⁵ = 41048124115393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41048124148121) 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, 249786220 + ... + 249950498.

Almost surely, 2^{41048124148161} is an apocalyptic number.

41048124148161 is the 6406881-st square number.

41048124148161 is the 3203441-st centered octagonal number.

It is an amenable number.

41048124148161 is a deficient number, since it is larger than the sum of its proper divisors (23155742905698).

41048124148161 is an frugal number, since it uses more digits than its factorization.

41048124148161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328590 (or 164295 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 41048124148161 in words is "forty-one trillion, forty-eight billion, one hundred twenty-four million, one hundred forty-eight thousand, one hundred sixty-one".