14298993113600 has 480 divisors, whose sum is σ = 39215601665856. Its totient is φ = 5133326745600.

The previous prime is 14298993113557. The next prime is 14298993113611. The reversal of 14298993113600 is 631139989241.

It is a super-2 number, since 2×14298993113600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2094473387 + ... + 2094480213.

Almost surely, 2^{14298993113600} is an apocalyptic number.

14298993113600 is a gapful number since it is divisible by the number (10) 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 14298993113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19607800832928).

14298993113600 is an abundant number, since it is smaller than the sum of its proper divisors (24916608552256).

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

14298993113600 is a wasteful number, since it uses less digits than its factorization.

14298993113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7216 (or 7195 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 56.

The spelling of 14298993113600 in words is "fourteen trillion, two hundred ninety-eight billion, nine hundred ninety-three million, one hundred thirteen thousand, six hundred".