14314729042900 has 72 divisors (see below), whose sum is σ = 36493549825824. Its totient is φ = 4804944009600.

The previous prime is 14314729042897. The next prime is 14314729042921. The reversal of 14314729042900 is 924092741341.

14314729042900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14314729042900² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500500702 + ... + 500529301.

It is an arithmetic number, because the mean of its divisors is an integer number (506854858692).

Almost surely, 2^{14314729042900} is an apocalyptic number.

14314729042900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14314729042900 is an abundant number, since it is smaller than the sum of its proper divisors (22178820782924).

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

14314729042900 is a wasteful number, since it uses less digits than its factorization.

14314729042900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001030041 (or 1001030034 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 14314729042900 in words is "fourteen trillion, three hundred fourteen billion, seven hundred twenty-nine million, forty-two thousand, nine hundred".