14432689152 has 528 divisors, whose sum is σ = 50766124032. Its totient is φ = 3860398080.

The previous prime is 14432689111. The next prime is 14432689153. The reversal of 14432689152 is 25198623441.

14432689152 is a `hidden beast` number, since 1 + 4 + 432 + 68 + 9 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14432689098 and 14432689107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14432689153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105348028 + ... + 105348164.

Almost surely, 2^14432689152 is an apocalyptic number.

14432689152 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 14432689152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25383062016).

14432689152 is an abundant number, since it is smaller than the sum of its proper divisors (36333434880).

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

14432689152 is a wasteful number, since it uses less digits than its factorization.

14432689152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 14432689152 in words is "fourteen billion, four hundred thirty-two million, six hundred eighty-nine thousand, one hundred fifty-two".