14021683200 has 1296 divisors, whose sum is σ = 63212516640. Its totient is φ = 3065610240.

The previous prime is 14021683189. The next prime is 14021683201. The reversal of 14021683200 is 238612041.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×14021683200² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14021683201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 609638389 + ... + 609638411.

It is an arithmetic number, because the mean of its divisors is an integer number (48775090).

Almost surely, 2^14021683200 is an apocalyptic number.

14021683200 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 14021683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31606258320).

14021683200 is an abundant number, since it is smaller than the sum of its proper divisors (49190833440).

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

14021683200 is an equidigital number, since it uses as much as digits as its factorization.

14021683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 14021683200 in words is "fourteen billion, twenty-one million, six hundred eighty-three thousand, two hundred".