14298401646100 has 432 divisors, whose sum is σ = 37627424190720. Its totient is φ = 4673446502400.

The previous prime is 14298401646079. The next prime is 14298401646103. The reversal of 14298401646100 is 164610489241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14298401646103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1072078632 + ... + 1072091968.

It is an arithmetic number, because the mean of its divisors is an integer number (87100518960).

Almost surely, 2^{14298401646100} is an apocalyptic number.

14298401646100 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 14298401646100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18813712095360).

14298401646100 is an abundant number, since it is smaller than the sum of its proper divisors (23329022544620).

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

14298401646100 is a wasteful number, since it uses less digits than its factorization.

14298401646100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13540 (or 13520 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 14298401646100 in words is "fourteen trillion, two hundred ninety-eight billion, four hundred one million, six hundred forty-six thousand, one hundred".