14113121100192 has 96 divisors (see below), whose sum is σ = 41165115364800. Its totient is φ = 4704162787584.

The previous prime is 14113121100191. The next prime is 14113121100203. The reversal of 14113121100192 is 29100112131141.

14113121100192 is a `hidden beast` number, since 1 + 411 + 31 + 21 + 10 + 0 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14113121100191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19542403 + ... + 20251709.

It is an arithmetic number, because the mean of its divisors is an integer number (428803285050).

Almost surely, 2^{14113121100192} is an apocalyptic number.

14113121100192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14113121100192 is an abundant number, since it is smaller than the sum of its proper divisors (27051994264608).

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

14113121100192 is a wasteful number, since it uses less digits than its factorization.

14113121100192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732355 (or 732341 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 14113121100192 in words is "fourteen trillion, one hundred thirteen billion, one hundred twenty-one million, one hundred thousand, one hundred ninety-two".