22135152449601 has 27 divisors (see below), whose sum is σ = 33964763958723. Its totient is φ = 13888572552000.

The previous prime is 22135152449581. The next prime is 22135152449647. The reversal of 22135152449601 is 10694425153122.

The square root of 22135152449601 is 4704801.

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

22135152449601 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 5 + 15 + 24 + 4 + 9 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17233250177025 + 4901902272576 = 4151295^2 + 2214024^2 .

It is not a de Polignac number, because 22135152449601 - 2⁵ = 22135152449569 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22135152449101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 239898726 + ... + 239990976.

Almost surely, 2^{22135152449601} is an apocalyptic number.

22135152449601 is the 4704801-st square number.

22135152449601 is the 2352401-st centered octagonal number.

It is an amenable number.

22135152449601 is a deficient number, since it is larger than the sum of its proper divisors (11829611509122).

22135152449601 is an frugal number, since it uses more digits than its factorization.

22135152449601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184542 (or 92271 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 22135152449601 in words is "twenty-two trillion, one hundred thirty-five billion, one hundred fifty-two million, four hundred forty-nine thousand, six hundred one".