14328090000 has 1125 divisors, whose sum is σ = 63620624727. Its totient is φ = 3102624000.

The previous prime is 14328089989. The next prime is 14328090017. The reversal of 14328090000 is 9082341.

The square root of 14328090000 is 119700.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1123322256 + 13204767744 = 33516^2 + 114912^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 754109991 + ... + 754110009.

Almost surely, 2^14328090000 is an apocalyptic number.

14328090000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14328090000 is the 119700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14328090000

14328090000 is an abundant number, since it is smaller than the sum of its proper divisors (49292534727).

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

14328090000 is an equidigital number, since it uses as much as digits as its factorization.

14328090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 14328090000 in words is "fourteen billion, three hundred twenty-eight million, ninety thousand".