14189574400 has 81 divisors (see below), whose sum is σ = 35145016851. Its totient is φ = 5672017920.

The previous prime is 14189574389. The next prime is 14189574409. The reversal of 14189574400 is 447598141.

The square root of 14189574400 is 119120.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2642782464 + 11546791936 = 51408^2 + 107456^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14189574409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9528856 + ... + 9530344.

Almost surely, 2^14189574400 is an apocalyptic number.

14189574400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14189574400 is the 119120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14189574400

14189574400 is an abundant number, since it is smaller than the sum of its proper divisors (20955442451).

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

14189574400 is an frugal number, since it uses more digits than its factorization.

14189574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 14189574400 in words is "fourteen billion, one hundred eighty-nine million, five hundred seventy-four thousand, four hundred".