13383362160 has 480 divisors, whose sum is σ = 55367884800. Its totient is φ = 2959649280.

The previous prime is 13383362077. The next prime is 13383362219. The reversal of 13383362160 is 6126338331.

13383362160 is a `hidden beast` number, since 133 + 8 + 3 + 362 + 160 = 666.

It is a super-2 number, since 2×13383362160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3279001 + ... + 3283079.

It is an arithmetic number, because the mean of its divisors is an integer number (115349760).

Almost surely, 2^13383362160 is an apocalyptic number.

13383362160 is a gapful number since it is divisible by the number (10) 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 13383362160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27683942400).

13383362160 is an abundant number, since it is smaller than the sum of its proper divisors (41984522640).

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

13383362160 is a wasteful number, since it uses less digits than its factorization.

13383362160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13383362160 in words is "thirteen billion, three hundred eighty-three million, three hundred sixty-two thousand, one hundred sixty".