14079455107600 has 135 divisors (see below), whose sum is σ = 34064280188589. Its totient is φ = 5592368304000.

The previous prime is 14079455107583. The next prime is 14079455107621. The reversal of 14079455107600 is 670155497041.

The square root of 14079455107600 is 3752260.

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

It can be written as a sum of positive squares in only one way, i.e., 5068603838736 + 9010851268864 = 2251356^2 + 3001808^2 .

It is a super-2 number, since 2×14079455107600² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 12232367025 + ... + 12232368175.

Almost surely, 2^{14079455107600} is an apocalyptic number.

14079455107600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14079455107600 is the 3752260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14079455107600

14079455107600 is an abundant number, since it is smaller than the sum of its proper divisors (19984825080989).

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

14079455107600 is an frugal number, since it uses more digits than its factorization.

14079455107600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

Multiplying 14079455107600 by its sum of digits (49), we get a square (689893300272400 = 26265820²).

The spelling of 14079455107600 in words is "fourteen trillion, seventy-nine billion, four hundred fifty-five million, one hundred seven thousand, six hundred".