14136964800 has 168 divisors, whose sum is σ = 53007012096. Its totient is φ = 3231298560.

The previous prime is 14136964783. The next prime is 14136964817. The reversal of 14136964800 is 846963141.

It is an interprime number because it is at equal distance from previous prime (14136964783) and next prime (14136964817).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 176772 + ... + 243971.

Almost surely, 2^14136964800 is an apocalyptic number.

14136964800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14136964800 is an abundant number, since it is smaller than the sum of its proper divisors (38870047296).

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

14136964800 is a wasteful number, since it uses less digits than its factorization.

14136964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420775 (or 420760 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 14136964800 in words is "fourteen billion, one hundred thirty-six million, nine hundred sixty-four thousand, eight hundred".