2265188314201 has 8 divisors (see below), whose sum is σ = 2343607259400. Its totient is φ = 2186789969280.

The previous prime is 2265188314177. The next prime is 2265188314223. The reversal of 2265188314201 is 1024138815622.

It can be written as a sum of positive squares in 4 ways, for example, as 87187916176 + 2178000398025 = 295276^2 + 1475805^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2265188314201 - 2²⁹ = 2264651443289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2265188314231) 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, 4926180 + ... + 5366341.

It is an arithmetic number, because the mean of its divisors is an integer number (292950907425).

Almost surely, 2^{2265188314201} is an apocalyptic number.

It is an amenable number.

2265188314201 is a deficient number, since it is larger than the sum of its proper divisors (78418945199).

2265188314201 is a wasteful number, since it uses less digits than its factorization.

2265188314201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10300139.

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 2265188314201 in words is "two trillion, two hundred sixty-five billion, one hundred eighty-eight million, three hundred fourteen thousand, two hundred one".