14269519872 has 288 divisors, whose sum is σ = 43626295440. Its totient is φ = 4658135040.

The previous prime is 14269519853. The next prime is 14269519877. The reversal of 14269519872 is 27891596241.

It is a happy number.

14269519872 is a `hidden beast` number, since 1 + 42 + 6 + 9 + 519 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14269519877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26375922 + ... + 26376462.

Almost surely, 2^14269519872 is an apocalyptic number.

14269519872 is a gapful number since it is divisible by the number (12) 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 14269519872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21813147720).

14269519872 is an abundant number, since it is smaller than the sum of its proper divisors (29356775568).

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

14269519872 is an frugal number, since it uses more digits than its factorization.

14269519872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 599 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 14269519872 in words is "fourteen billion, two hundred sixty-nine million, five hundred nineteen thousand, eight hundred seventy-two".