14942349223200 has 1440 divisors, whose sum is σ = 65737361289600. Its totient is φ = 3226594590720.

The previous prime is 14942349223177. The next prime is 14942349223327. The reversal of 14942349223200 is 232294324941.

14942349223200 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 234 + 92 + 2 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3352555372 + ... + 3352559828.

It is an arithmetic number, because the mean of its divisors is an integer number (45650945340).

Almost surely, 2^{14942349223200} is an apocalyptic number.

14942349223200 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 14942349223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32868680644800).

14942349223200 is an abundant number, since it is smaller than the sum of its proper divisors (50795012066400).

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

14942349223200 is a wasteful number, since it uses less digits than its factorization.

14942349223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 14942349223200 in words is "fourteen trillion, nine hundred forty-two billion, three hundred forty-nine million, two hundred twenty-three thousand, two hundred".