14993143200 has 1152 divisors, whose sum is σ = 69295564800. Its totient is φ = 3045703680.

The previous prime is 14993143163. The next prime is 14993143223. The reversal of 14993143200 is 234139941.

14993143200 is a `hidden beast` number, since 1 + 499 + 3 + 143 + 20 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 48837447 + ... + 48837753.

It is an arithmetic number, because the mean of its divisors is an integer number (60152400).

Almost surely, 2^14993143200 is an apocalyptic number.

14993143200 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 14993143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34647782400).

14993143200 is an abundant number, since it is smaller than the sum of its proper divisors (54302421600).

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

14993143200 is a wasteful number, since it uses less digits than its factorization.

14993143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

It can be divided in two parts, 149931 and 43200, that added together give a triangular number (193131 = T₆₂₁).

The spelling of 14993143200 in words is "fourteen billion, nine hundred ninety-three million, one hundred forty-three thousand, two hundred".