12681490176 has 108 divisors (see below), whose sum is σ = 36602557992. Its totient is φ = 4222691328.

The previous prime is 12681490163. The next prime is 12681490177. The reversal of 12681490176 is 67109418621.

12681490176 is a `hidden beast` number, since 12 + 6 + 81 + 490 + 1 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12681490177) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2732530 + ... + 2737166.

It is an arithmetic number, because the mean of its divisors is an integer number (338912574).

Almost surely, 2^12681490176 is an apocalyptic number.

12681490176 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 12681490176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18301278996).

12681490176 is an abundant number, since it is smaller than the sum of its proper divisors (23921067816).

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

12681490176 is a wasteful number, since it uses less digits than its factorization.

12681490176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12681490176 in words is "twelve billion, six hundred eighty-one million, four hundred ninety thousand, one hundred seventy-six".