13328678046864 has 160 divisors (see below), whose sum is σ = 35999437388544. Its totient is φ = 4241456834560.

The previous prime is 13328678046833. The next prime is 13328678046869. The reversal of 13328678046864 is 46864087682331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13328678046795 and 13328678046804.

It is not an unprimeable number, because it can be changed into a prime (13328678046869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1524841534 + ... + 1524850274.

Almost surely, 2^{13328678046864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13328678046864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17999718694272).

13328678046864 is an abundant number, since it is smaller than the sum of its proper divisors (22670759341680).

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

13328678046864 is a wasteful number, since it uses less digits than its factorization.

13328678046864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11305 (or 11299 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 66.

The spelling of 13328678046864 in words is "thirteen trillion, three hundred twenty-eight billion, six hundred seventy-eight million, forty-six thousand, eight hundred sixty-four".