13335766668 has 96 divisors (see below), whose sum is σ = 39583864320. Its totient is φ = 3803423040.

The previous prime is 13335766663. The next prime is 13335766679. The reversal of 13335766668 is 86666753331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13335766663) 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, 416230 + ... + 447122.

It is an arithmetic number, because the mean of its divisors is an integer number (412331920).

Almost surely, 2^13335766668 is an apocalyptic number.

13335766668 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 13335766668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19791932160).

13335766668 is an abundant number, since it is smaller than the sum of its proper divisors (26248097652).

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

13335766668 is a wasteful number, since it uses less digits than its factorization.

13335766668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31484 (or 31476 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 13335766668 in words is "thirteen billion, three hundred thirty-five million, seven hundred sixty-six thousand, six hundred sixty-eight".