14111701128 has 288 divisors, whose sum is σ = 47131156800. Its totient is φ = 3726196992.

The previous prime is 14111701127. The next prime is 14111701141. The reversal of 14111701128 is 82110711141.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111701127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17705626 + ... + 17706422.

It is an arithmetic number, because the mean of its divisors is an integer number (163649850).

Almost surely, 2^14111701128 is an apocalyptic number.

14111701128 is a gapful number since it is divisible by the number (18) 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 14111701128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23565578400).

14111701128 is an abundant number, since it is smaller than the sum of its proper divisors (33019455672).

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

14111701128 is a wasteful number, since it uses less digits than its factorization.

14111701128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 27.

The spelling of 14111701128 in words is "fourteen billion, one hundred eleven million, seven hundred one thousand, one hundred twenty-eight".