14368738675200 has 1920 divisors, whose sum is σ = 61557926707200. Its totient is φ = 2932767129600.

The previous prime is 14368738675171. The next prime is 14368738675229. The reversal of 14368738675200 is 257683786341.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14368738675171) and next prime (14368738675229).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×14368738675200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 5307992247 + ... + 5307994953.

It is an arithmetic number, because the mean of its divisors is an integer number (32061420160).

Almost surely, 2^{14368738675200} is an apocalyptic number.

14368738675200 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 14368738675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30778963353600).

14368738675200 is an abundant number, since it is smaller than the sum of its proper divisors (47189188032000).

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

14368738675200 is a wasteful number, since it uses less digits than its factorization.

14368738675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 14368738675200 in words is "fourteen trillion, three hundred sixty-eight billion, seven hundred thirty-eight million, six hundred seventy-five thousand, two hundred".