14354012800 has 48 divisors (see below), whose sum is σ = 35458905150. Its totient is φ = 5741603840.

The previous prime is 14354012797. The next prime is 14354012807. The reversal of 14354012800 is 821045341.

It can be written as a sum of positive squares in 3 ways, for example, as 10884331584 + 3469681216 = 104328^2 + 58904^2 .

It is not an unprimeable number, because it can be changed into a prime (14354012807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2239615 + ... + 2246014.

Almost surely, 2^14354012800 is an apocalyptic number.

14354012800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14354012800 is an abundant number, since it is smaller than the sum of its proper divisors (21104892350).

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

14354012800 is an equidigital number, since it uses as much as digits as its factorization.

14354012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485653 (or 4485636 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 14354012800 in words is "fourteen billion, three hundred fifty-four million, twelve thousand, eight hundred".