14238106560 has 896 divisors, whose sum is σ = 56882995200. Its totient is φ = 3335454720.

The previous prime is 14238106549. The next prime is 14238106607. The reversal of 14238106560 is 6560183241.

It is a happy number.

14238106560 is a `hidden beast` number, since 14 + 2 + 3 + 81 + 0 + 6 + 560 = 666.

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

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, 241323811 + ... + 241323869.

Almost surely, 2^14238106560 is an apocalyptic number.

14238106560 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 14238106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28441497600).

14238106560 is an abundant number, since it is smaller than the sum of its proper divisors (42644888640).

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

14238106560 is a wasteful number, since it uses less digits than its factorization.

14238106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

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

The spelling of 14238106560 in words is "fourteen billion, two hundred thirty-eight million, one hundred six thousand, five hundred sixty".