13734923328 has 224 divisors, whose sum is σ = 47395180800. Its totient is φ = 3818078208.

The previous prime is 13734923327. The next prime is 13734923347. The reversal of 13734923328 is 82332943731.

13734923328 is a `hidden beast` number, since 1 + 373 + 49 + 233 + 2 + 8 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (13734923327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432208 + ... + 462896.

Almost surely, 2^13734923328 is an apocalyptic number.

13734923328 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 13734923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23697590400).

13734923328 is an abundant number, since it is smaller than the sum of its proper divisors (33660257472).

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

13734923328 is a wasteful number, since it uses less digits than its factorization.

13734923328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30754 (or 30738 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 13734923328 in words is "thirteen billion, seven hundred thirty-four million, nine hundred twenty-three thousand, three hundred twenty-eight".