12348279093888 has 160 divisors (see below), whose sum is σ = 38909942491860. Its totient is φ = 3873969856512.

The previous prime is 12348279093883. The next prime is 12348279093889. The reversal of 12348279093888 is 88839097284321.

12348279093888 is a `hidden beast` number, since 1 + 2 + 348 + 279 + 0 + 9 + 3 + 8 + 8 + 8 = 666.

12348279093888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11083625907264 + 1264653186624 = 3329208^2 + 1124568^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (12348279093883) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34853131 + ... + 35205642.

Almost surely, 2^{12348279093888} is an apocalyptic number.

12348279093888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12348279093888 is an abundant number, since it is smaller than the sum of its proper divisors (26561663397972).

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

12348279093888 is an equidigital number, since it uses as much as digits as its factorization.

12348279093888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70058816 (or 70058795 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 12348279093888 in words is "twelve trillion, three hundred forty-eight billion, two hundred seventy-nine million, ninety-three thousand, eight hundred eighty-eight".