13359845376 has 208 divisors, whose sum is σ = 39985185600. Its totient is φ = 4407754752.

The previous prime is 13359845357. The next prime is 13359845381. The reversal of 13359845376 is 67354895331.

13359845376 is a `hidden beast` number, since 1 + 3 + 3 + 598 + 45 + 3 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11832780 + ... + 11833908.

Almost surely, 2^13359845376 is an apocalyptic number.

13359845376 is a gapful number since it is divisible by the number (16) 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 13359845376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992592800).

13359845376 is an abundant number, since it is smaller than the sum of its proper divisors (26625340224).

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

13359845376 is a wasteful number, since it uses less digits than its factorization.

13359845376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1241 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 13359845376 in words is "thirteen billion, three hundred fifty-nine million, eight hundred forty-five thousand, three hundred seventy-six".