14401888116 has 288 divisors, whose sum is σ = 44308454400. Its totient is φ = 3609144000.

The previous prime is 14401888093. The next prime is 14401888129. The reversal of 14401888116 is 61188810441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43510071 + ... + 43510401.

It is an arithmetic number, because the mean of its divisors is an integer number (153848800).

Almost surely, 2^14401888116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14401888116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22154227200).

14401888116 is an abundant number, since it is smaller than the sum of its proper divisors (29906566284).

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

14401888116 is a wasteful number, since it uses less digits than its factorization.

14401888116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 42.

The spelling of 14401888116 in words is "fourteen billion, four hundred one million, eight hundred eighty-eight thousand, one hundred sixteen".