14269245120 has 1120 divisors, whose sum is σ = 60224871168. Its totient is φ = 3174432768.

The previous prime is 14269245097. The next prime is 14269245131. The reversal of 14269245120 is 2154296241.

It is a happy number.

14269245120 is a `hidden beast` number, since 142 + 69 + 2 + 451 + 2 + 0 = 666.

It is a super-2 number, since 2×14269245120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 269231014 + ... + 269231066.

Almost surely, 2^14269245120 is an apocalyptic number.

14269245120 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 14269245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30112435584).

14269245120 is an abundant number, since it is smaller than the sum of its proper divisors (45955626048).

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

14269245120 is a wasteful number, since it uses less digits than its factorization.

14269245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 14269245120 in words is "fourteen billion, two hundred sixty-nine million, two hundred forty-five thousand, one hundred twenty".