14168134800 has 180 divisors, whose sum is σ = 49220421120. Its totient is φ = 3774094080.

The previous prime is 14168134793. The next prime is 14168134811. The reversal of 14168134800 is 843186141.

It is a happy number.

14168134800 is a `hidden beast` number, since 1 + 4 + 168 + 13 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4919761 + ... + 4922639.

It is an arithmetic number, because the mean of its divisors is an integer number (273446784).

Almost surely, 2^14168134800 is an apocalyptic number.

14168134800 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 14168134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24610210560).

14168134800 is an abundant number, since it is smaller than the sum of its proper divisors (35052286320).

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

14168134800 is a wasteful number, since it uses less digits than its factorization.

14168134800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 14168134800 in words is "fourteen billion, one hundred sixty-eight million, one hundred thirty-four thousand, eight hundred".