14084249298900 has 144 divisors (see below), whose sum is σ = 45400864158720. Its totient is φ = 3341717398400.

The previous prime is 14084249298881. The next prime is 14084249298907. The reversal of 14084249298900 is 989294248041.

It is a super-3 number, since 3×14084249298900³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14084249298907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45248670 + ... + 45558869.

It is an arithmetic number, because the mean of its divisors is an integer number (315283778880).

Almost surely, 2^{14084249298900} is an apocalyptic number.

14084249298900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14084249298900 is an abundant number, since it is smaller than the sum of its proper divisors (31316614859820).

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

14084249298900 is a wasteful number, since it uses less digits than its factorization.

14084249298900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90807614 (or 90807607 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 14084249298900 in words is "fourteen trillion, eighty-four billion, two hundred forty-nine million, two hundred ninety-eight thousand, nine hundred".