13333376028168 has 256 divisors, whose sum is σ = 43040559513600. Its totient is φ = 3745475354880.

The previous prime is 13333376028163. The next prime is 13333376028223. The reversal of 13333376028168 is 86182067333331.

13333376028168 is a `hidden beast` number, since 13 + 3 + 3 + 3 + 3 + 7 + 602 + 8 + 16 + 8 = 666.

It is a super-2 number, since 2×13333376028168² (a number of 27 digits) contains 22 as substring.

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 (13333376028163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223448305 + ... + 223507967.

It is an arithmetic number, because the mean of its divisors is an integer number (168127185600).

Almost surely, 2^{13333376028168} is an apocalyptic number.

13333376028168 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 13333376028168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21520279756800).

13333376028168 is an abundant number, since it is smaller than the sum of its proper divisors (29707183485432).

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

13333376028168 is a wasteful number, since it uses less digits than its factorization.

13333376028168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62169 (or 62159 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 13333376028168 in words is "thirteen trillion, three hundred thirty-three billion, three hundred seventy-six million, twenty-eight thousand, one hundred sixty-eight".