14879116800 has 600 divisors, whose sum is σ = 55993487616. Its totient is φ = 3901685760.

The previous prime is 14879116793. The next prime is 14879116801. The reversal of 14879116800 is 861197841.

It is a happy number.

14879116800 is a `hidden beast` number, since 1 + 487 + 9 + 1 + 168 + 0 + 0 = 666.

14879116800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14879116801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 117158337 + ... + 117158463.

Almost surely, 2^14879116800 is an apocalyptic number.

14879116800 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 14879116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27996743808).

14879116800 is an abundant number, since it is smaller than the sum of its proper divisors (41114370816).

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

14879116800 is a wasteful number, since it uses less digits than its factorization.

14879116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 14879116800 in words is "fourteen billion, eight hundred seventy-nine million, one hundred sixteen thousand, eight hundred".