14133117000 has 128 divisors (see below), whose sum is σ = 45518054400. Its totient is φ = 3647232000.

The previous prime is 14133116971. The next prime is 14133117013. The reversal of 14133117000 is 71133141.

It is a super-2 number, since 2×14133117000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17016 + ... + 168984.

It is an arithmetic number, because the mean of its divisors is an integer number (355609800).

Almost surely, 2^14133117000 is an apocalyptic number.

14133117000 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 14133117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22759027200).

14133117000 is an abundant number, since it is smaller than the sum of its proper divisors (31384937400).

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

14133117000 is a wasteful number, since it uses less digits than its factorization.

14133117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152024 (or 152010 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The spelling of 14133117000 in words is "fourteen billion, one hundred thirty-three million, one hundred seventeen thousand".