12874434048 has 360 divisors, whose sum is σ = 45512901720. Its totient is φ = 3483648000.

The previous prime is 12874434037. The next prime is 12874434059. The reversal of 12874434048 is 84043447821.

12874434048 is a `hidden beast` number, since 128 + 7 + 443 + 40 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (12874434037) and next prime (12874434059).

It is a junction number, because it is equal to n+sod(n) for n = 12874433994 and 12874434012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4288548 + ... + 4291548.

It is an arithmetic number, because the mean of its divisors is an integer number (126424727).

Almost surely, 2^12874434048 is an apocalyptic number.

12874434048 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 12874434048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22756450860).

12874434048 is an abundant number, since it is smaller than the sum of its proper divisors (32638467672).

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

12874434048 is a wasteful number, since it uses less digits than its factorization.

12874434048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 12874434048 in words is "twelve billion, eight hundred seventy-four million, four hundred thirty-four thousand, forty-eight".