12279413856 has 96 divisors (see below), whose sum is σ = 33396330240. Its totient is φ = 3945908736.

The previous prime is 12279413849. The next prime is 12279413891. The reversal of 12279413856 is 65831497221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×12279413856³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 2020935 + ... + 2027001.

It is an arithmetic number, because the mean of its divisors is an integer number (347878440).

Almost surely, 2^12279413856 is an apocalyptic number.

12279413856 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 12279413856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16698165120).

12279413856 is an abundant number, since it is smaller than the sum of its proper divisors (21116916384).

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

12279413856 is a wasteful number, since it uses less digits than its factorization.

12279413856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6836 (or 6828 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The spelling of 12279413856 in words is "twelve billion, two hundred seventy-nine million, four hundred thirteen thousand, eight hundred fifty-six".