14121796980192 has 576 divisors, whose sum is σ = 42108537139200. Its totient is φ = 4138733491200.

The previous prime is 14121796980157. The next prime is 14121796980299. The reversal of 14121796980192 is 29108969712141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28761297067 + ... + 28761297557.

It is an arithmetic number, because the mean of its divisors is an integer number (73105099200).

Almost surely, 2^{14121796980192} is an apocalyptic number.

14121796980192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14121796980192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21054268569600).

14121796980192 is an abundant number, since it is smaller than the sum of its proper divisors (27986740159008).

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

14121796980192 is a wasteful number, since it uses less digits than its factorization.

14121796980192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 60.

The spelling of 14121796980192 in words is "fourteen trillion, one hundred twenty-one billion, seven hundred ninety-six million, nine hundred eighty thousand, one hundred ninety-two".