14689052716900 has 135 divisors (see below), whose sum is σ = 32724179252205. Its totient is φ = 5723189726400.

The previous prime is 14689052716883. The next prime is 14689052716973. The reversal of 14689052716900 is 961725098641.

The square root of 14689052716900 is 3832630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 10482714240804 + 4206338476096 = 3237702^2 + 2050936^2 .

It is a super-2 number, since 2×14689052716900² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 142612162249 + ... + 142612162351.

Almost surely, 2^{14689052716900} is an apocalyptic number.

14689052716900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14689052716900 is the 3832630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14689052716900

14689052716900 is an abundant number, since it is smaller than the sum of its proper divisors (18035126535305).

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

14689052716900 is an frugal number, since it uses more digits than its factorization.

14689052716900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 14689052716900 in words is "fourteen trillion, six hundred eighty-nine billion, fifty-two million, seven hundred sixteen thousand, nine hundred".