13641016365 has 24 divisors (see below), whose sum is σ = 23650019640. Its totient is φ = 7273488384.

The previous prime is 13641016357. The next prime is 13641016373. The reversal of 13641016365 is 56361014631.

13641016365 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 10 + 1 + 636 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (13641016357) and next prime (13641016373).

It can be written as a sum of positive squares in 4 ways, for example, as 677144484 + 12963871881 = 26022^2 + 113859^2 .

It is not a de Polignac number, because 13641016365 - 2³ = 13641016357 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169501 + ... + 236669.

It is an arithmetic number, because the mean of its divisors is an integer number (985417485).

Almost surely, 2^13641016365 is an apocalyptic number.

13641016365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13641016365 is a deficient number, since it is larger than the sum of its proper divisors (10009003275).

13641016365 is a wasteful number, since it uses less digits than its factorization.

13641016365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71693 (or 71690 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13641016365 in words is "thirteen billion, six hundred forty-one million, sixteen thousand, three hundred sixty-five".