14341436928 has 480 divisors, whose sum is σ = 53192595456. Its totient is φ = 3615473664.

The previous prime is 14341436891. The next prime is 14341436933. The reversal of 14341436928 is 82963414341.

14341436928 is a `hidden beast` number, since 143 + 414 + 3 + 6 + 92 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9643801 + ... + 9645287.

Almost surely, 2^14341436928 is an apocalyptic number.

14341436928 is a gapful number since it is divisible by the number (18) 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 14341436928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26596297728).

14341436928 is an abundant number, since it is smaller than the sum of its proper divisors (38851158528).

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

14341436928 is a wasteful number, since it uses less digits than its factorization.

14341436928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1535 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 14341436928 in words is "fourteen billion, three hundred forty-one million, four hundred thirty-six thousand, nine hundred twenty-eight".