14199108000 has 768 divisors, whose sum is σ = 58934034432. Its totient is φ = 2927232000.

The previous prime is 14199107969. The next prime is 14199108019. The reversal of 14199108000 is 80199141.

It is a super-2 number, since 2×14199108000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111803937 + ... + 111804063.

It is an arithmetic number, because the mean of its divisors is an integer number (76737024).

Almost surely, 2^14199108000 is an apocalyptic number.

14199108000 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 14199108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29467017216).

14199108000 is an abundant number, since it is smaller than the sum of its proper divisors (44734926432).

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

14199108000 is a wasteful number, since it uses less digits than its factorization.

14199108000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 14199108000 in words is "fourteen billion, one hundred ninety-nine million, one hundred eight thousand".