14231870138880 has 1600 divisors, whose sum is σ = 56327642300160. Its totient is φ = 3422038523904.

The previous prime is 14231870138869. The next prime is 14231870138887. The reversal of 14231870138880 is 8883107813241.

14231870138880 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 187 + 0 + 1 + 388 + 80 = 666.

It is a super-2 number, since 2×14231870138880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14231870138887) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5947290964 + ... + 5947293356.

Almost surely, 2^{14231870138880} is an apocalyptic number.

14231870138880 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 14231870138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28163821150080).

14231870138880 is an abundant number, since it is smaller than the sum of its proper divisors (42095772161280).

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

14231870138880 is a wasteful number, since it uses less digits than its factorization.

14231870138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 14231870138880 in words is "fourteen trillion, two hundred thirty-one billion, eight hundred seventy million, one hundred thirty-eight thousand, eight hundred eighty".