13806975205584 has 720 divisors, whose sum is σ = 46110404995200. Its totient is φ = 3841855395840.

The previous prime is 13806975205571. The next prime is 13806975205609. The reversal of 13806975205584 is 48550257960831.

13806975205584 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 6 + 9 + 75 + 2 + 0 + 558 + 4 = 666.

It is a super-2 number, since 2×13806975205584² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2080300314 + ... + 2080306950.

It is an arithmetic number, because the mean of its divisors is an integer number (64042229160).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13806975205584 = 27613950411168, but 3⋅13806975205584 = 41420925616752 is not.

Almost surely, 2^{13806975205584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13806975205584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23055202497600).

13806975205584 is an abundant number, since it is smaller than the sum of its proper divisors (32303429789616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13806975205584 is a wasteful number, since it uses less digits than its factorization.

13806975205584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6904 (or 6884 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 13806975205584 in words is "thirteen trillion, eight hundred six billion, nine hundred seventy-five million, two hundred five thousand, five hundred eighty-four".