13279441968 has 200 divisors, whose sum is σ = 42819915600. Its totient is φ = 3944941056.

The previous prime is 13279441919. The next prime is 13279442003. The reversal of 13279441968 is 86914497231.

13279441968 is a `hidden beast` number, since 132 + 7 + 9 + 441 + 9 + 68 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 475003 + ... + 502181.

It is an arithmetic number, because the mean of its divisors is an integer number (214099578).

Almost surely, 2^13279441968 is an apocalyptic number.

13279441968 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 13279441968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21409957800).

13279441968 is an abundant number, since it is smaller than the sum of its proper divisors (29540473632).

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

13279441968 is a wasteful number, since it uses less digits than its factorization.

13279441968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27241 (or 27226 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 13279441968 in words is "thirteen billion, two hundred seventy-nine million, four hundred forty-one thousand, nine hundred sixty-eight".