13851968335800 has 192 divisors, whose sum is σ = 49346683276800. Its totient is φ = 3148671398400.

The previous prime is 13851968335763. The next prime is 13851968335831. The reversal of 13851968335800 is 853386915831.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8350540 + ... + 9870939.

It is an arithmetic number, because the mean of its divisors is an integer number (257013975400).

Almost surely, 2^{13851968335800} is an apocalyptic number.

13851968335800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13851968335800 is an abundant number, since it is smaller than the sum of its proper divisors (35494714941000).

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

13851968335800 is a wasteful number, since it uses less digits than its factorization.

13851968335800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18221686 (or 18221677 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The spelling of 13851968335800 in words is "thirteen trillion, eight hundred fifty-one billion, nine hundred sixty-eight million, three hundred thirty-five thousand, eight hundred".