14493600000 has 864 divisors, whose sum is σ = 59399948160. Its totient is φ = 3456000000.

The previous prime is 14493599947. The next prime is 14493600001. The reversal of 14493600000 is 639441.

14493600000 is a `hidden beast` number, since 14 + 49 + 3 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14493600001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237599970 + ... + 237600030.

It is an arithmetic number, because the mean of its divisors is an integer number (68749940).

Almost surely, 2^14493600000 is an apocalyptic number.

14493600000 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 14493600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29699974080).

14493600000 is an abundant number, since it is smaller than the sum of its proper divisors (44906348160).

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

14493600000 is an frugal number, since it uses more digits than its factorization.

14493600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 14493600000 in words is "fourteen billion, four hundred ninety-three million, six hundred thousand".