22701900205361 has 8 divisors (see below), whose sum is σ = 25886329646184. Its totient is φ = 19722917825280.

The previous prime is 22701900205351. The next prime is 22701900205379. The reversal of 22701900205361 is 16350200910722.

It can be written as a sum of positive squares in 4 ways, for example, as 1874588152336 + 20827312053025 = 1369156^2 + 4563695^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22701900205361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22701900205321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51361764950 + ... + 51361765391.

It is an arithmetic number, because the mean of its divisors is an integer number (3235791205773).

Almost surely, 2^{22701900205361} is an apocalyptic number.

It is an amenable number.

22701900205361 is a deficient number, since it is larger than the sum of its proper divisors (3184429440823).

22701900205361 is a wasteful number, since it uses less digits than its factorization.

22701900205361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102723530371.

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 22701900205361 in words is "twenty-two trillion, seven hundred one billion, nine hundred million, two hundred five thousand, three hundred sixty-one".