14729168832 has 224 divisors, whose sum is σ = 47282526720. Its totient is φ = 3950346240.

The previous prime is 14729168827. The next prime is 14729168833. The reversal of 14729168832 is 23886192741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14729168833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13045644 + ... + 13046772.

Almost surely, 2^14729168832 is an apocalyptic number.

14729168832 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 14729168832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23641263360).

14729168832 is an abundant number, since it is smaller than the sum of its proper divisors (32553357888).

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

14729168832 is a wasteful number, since it uses less digits than its factorization.

14729168832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1729 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 14729168832 in words is "fourteen billion, seven hundred twenty-nine million, one hundred sixty-eight thousand, eight hundred thirty-two".