13522405206645 has 24 divisors (see below), whose sum is σ = 23438921451192. Its totient is φ = 7211923056000.

The previous prime is 13522405206623. The next prime is 13522405206659. The reversal of 13522405206645 is 54660250422531.

13522405206645 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 24 + 0 + 520 + 66 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1357781927121 + 12164623279524 = 1165239^2 + 3487782^2 .

It is not a de Polignac number, because 13522405206645 - 2¹¹ = 13522405204597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13522405206645.

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, 22577955 + ... + 23169135.

It is an arithmetic number, because the mean of its divisors is an integer number (976621727133).

Almost surely, 2^{13522405206645} is an apocalyptic number.

13522405206645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13522405206645 is a deficient number, since it is larger than the sum of its proper divisors (9916516244547).

13522405206645 is a wasteful number, since it uses less digits than its factorization.

13522405206645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099493 (or 1099490 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 13522405206645 in words is "thirteen trillion, five hundred twenty-two billion, four hundred five million, two hundred six thousand, six hundred forty-five".