13380168368064 has 224 divisors, whose sum is σ = 36062987950080. Its totient is φ = 4377499545600.

The previous prime is 13380168368059. The next prime is 13380168368113. The reversal of 13380168368064 is 46086386108331.

It is a junction number, because it is equal to n+sod(n) for n = 13380168367995 and 13380168368013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3983376817 + ... + 3983380175.

It is an arithmetic number, because the mean of its divisors is an integer number (160995481920).

Almost surely, 2^{13380168368064} 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 13380168368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18031493975040).

13380168368064 is an abundant number, since it is smaller than the sum of its proper divisors (22682819582016).

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

13380168368064 is a wasteful number, since it uses less digits than its factorization.

13380168368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 13380168368064 in words is "thirteen trillion, three hundred eighty billion, one hundred sixty-eight million, three hundred sixty-eight thousand, sixty-four".