13821253781688 has 24 divisors (see below), whose sum is σ = 37432562325600. Its totient is φ = 4607084593872.

The previous prime is 13821253781663. The next prime is 13821253781701. The reversal of 13821253781688 is 88618735212831.

13821253781688 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 1 + 2 + 537 + 8 + 16 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95980928968 + ... + 95980929111.

It is an arithmetic number, because the mean of its divisors is an integer number (1559690096900).

Almost surely, 2^{13821253781688} is an apocalyptic number.

13821253781688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13821253781688 is an abundant number, since it is smaller than the sum of its proper divisors (23611308543912).

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

13821253781688 is a wasteful number, since it uses less digits than its factorization.

13821253781688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191961858091 (or 191961858084 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 13821253781688 in words is "thirteen trillion, eight hundred twenty-one billion, two hundred fifty-three million, seven hundred eighty-one thousand, six hundred eighty-eight".