14255566400 has 168 divisors, whose sum is σ = 36053597184. Its totient is φ = 5544806400.

The previous prime is 14255566399. The next prime is 14255566439. The reversal of 14255566400 is 466555241.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26350130 + ... + 26350670.

Almost surely, 2^14255566400 is an apocalyptic number.

14255566400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14255566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18026798592).

14255566400 is an abundant number, since it is smaller than the sum of its proper divisors (21798030784).

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

14255566400 is a wasteful number, since it uses less digits than its factorization.

14255566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 14255566400 in words is "fourteen billion, two hundred fifty-five million, five hundred sixty-six thousand, four hundred".