2241161696601 has 45 divisors (see below), whose sum is σ = 3370174350543. Its totient is φ = 1484236243440.

The previous prime is 2241161696563. The next prime is 2241161696617. The reversal of 2241161696601 is 1066961611422.

The square root of 2241161696601 is 1497051.

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

2241161696601 is a `hidden beast` number, since 2 + 24 + 1 + 1 + 6 + 16 + 9 + 6 + 601 = 666.

2241161696601 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 only one way, i.e., 24695808201 + 2216465888400 = 157149^2 + 1488780^2 .

It is not a de Polignac number, because 2241161696601 - 2²⁷ = 2241027478873 is a prime.

It is a super-2 number, since 2×2241161696601² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2241161696621) 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, 2438695620 + ... + 2438696538.

Almost surely, 2^{2241161696601} is an apocalyptic number.

2241161696601 is the 1497051-st square number.

2241161696601 is the 748526-th centered octagonal number.

It is an amenable number.

2241161696601 is a deficient number, since it is larger than the sum of its proper divisors (1129012653942).

2241161696601 is an frugal number, since it uses more digits than its factorization.

2241161696601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2241161696601 in words is "two trillion, two hundred forty-one billion, one hundred sixty-one million, six hundred ninety-six thousand, six hundred one".