22064899734241 has 81 divisors (see below), whose sum is σ = 28510692879033. Its totient is φ = 17018610860160.

The previous prime is 22064899734221. The next prime is 22064899734281. The reversal of 22064899734241 is 14243799846022.

The square root of 22064899734241 is 4697329.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14696910659025 + 7367989075216 = 3833655^2 + 2714404^2 .

It is not a de Polignac number, because 22064899734241 - 2⁹ = 22064899733729 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22064899734241.

It is not an unprimeable number, because it can be changed into a prime (22064899734221) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17525733870 + ... + 17525735128.

Almost surely, 2^{22064899734241} is an apocalyptic number.

22064899734241 is the 4697329-th square number.

22064899734241 is the 2348665-th centered octagonal number.

It is an amenable number.

22064899734241 is a deficient number, since it is larger than the sum of its proper divisors (6445793144792).

22064899734241 is an frugal number, since it uses more digits than its factorization.

22064899734241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 61.

The spelling of 22064899734241 in words is "twenty-two trillion, sixty-four billion, eight hundred ninety-nine million, seven hundred thirty-four thousand, two hundred forty-one".