265645661560641 has 48 divisors (see below), whose sum is σ = 404505596898000. Its totient is φ = 167733242966016.

The previous prime is 265645661560603. The next prime is 265645661560679. The reversal of 265645661560641 is 146065166546562.

It is a happy number.

265645661560641 is a `hidden beast` number, since 2 + 6 + 5 + 6 + 4 + 5 + 6 + 6 + 1 + 560 + 64 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (265645661560603) and next prime (265645661560679).

It can be written as a sum of positive squares in 8 ways, for example, as 344404659600 + 265301256901041 = 586860^2 + 16288071^2 .

It is not a de Polignac number, because 265645661560641 - 2⁹ = 265645661560129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (265645661560541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73613881 + ... + 77138153.

It is an arithmetic number, because the mean of its divisors is an integer number (8427199935375).

Almost surely, 2^{265645661560641} is an apocalyptic number.

It is an amenable number.

265645661560641 is a deficient number, since it is larger than the sum of its proper divisors (138859935337359).

265645661560641 is a wasteful number, since it uses less digits than its factorization.

265645661560641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529810 (or 3529807 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 63.

The spelling of 265645661560641 in words is "two hundred sixty-five trillion, six hundred forty-five billion, six hundred sixty-one million, five hundred sixty thousand, six hundred forty-one".