13328326176 has 144 divisors (see below), whose sum is σ = 39276461952. Its totient is φ = 3952791040.

The previous prime is 13328326127. The next prime is 13328326199. The reversal of 13328326176 is 67162382331.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533746 + ... + 558158.

It is an arithmetic number, because the mean of its divisors is an integer number (272753208).

Almost surely, 2^13328326176 is an apocalyptic number.

13328326176 is a gapful number since it is divisible by the number (16) 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 13328326176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19638230976).

13328326176 is an abundant number, since it is smaller than the sum of its proper divisors (25948135776).

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

13328326176 is a wasteful number, since it uses less digits than its factorization.

13328326176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24495 (or 24476 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The spelling of 13328326176 in words is "thirteen billion, three hundred twenty-eight million, three hundred twenty-six thousand, one hundred seventy-six".