14135827488 has 192 divisors, whose sum is σ = 39974860800. Its totient is φ = 4358144000.

The previous prime is 14135827481. The next prime is 14135827501. The reversal of 14135827488 is 88472853141.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 14135827488.

It is not an unprimeable number, because it can be changed into a prime (14135827481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31482688 + ... + 31483136.

It is an arithmetic number, because the mean of its divisors is an integer number (208202400).

Almost surely, 2^14135827488 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 14135827488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19987430400).

14135827488 is an abundant number, since it is smaller than the sum of its proper divisors (25839033312).

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

14135827488 is a wasteful number, since it uses less digits than its factorization.

14135827488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 763 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 51.

The spelling of 14135827488 in words is "fourteen billion, one hundred thirty-five million, eight hundred twenty-seven thousand, four hundred eighty-eight".