12933148176 has 225 divisors, whose sum is σ = 40700671869. Its totient is φ = 3979430208.

The previous prime is 12933148153. The next prime is 12933148177. The reversal of 12933148176 is 67184133921.

The square root of 12933148176 is 113724.

It is a perfect power (a square), and thus also a powerful number.

12933148176 is a `hidden beast` number, since 12 + 93 + 3 + 1 + 481 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1913187600 + 11019960576 = 43740^2 + 104976^2 .

Its product of digits (217728) is a multiple of the sum of its prime divisors (18).

It is not an unprimeable number, because it can be changed into a prime (12933148177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 994857546 + ... + 994857558.

Almost surely, 2^12933148176 is an apocalyptic number.

12933148176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12933148176 is the 113724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12933148176

12933148176 is an abundant number, since it is smaller than the sum of its proper divisors (27767523693).

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

12933148176 is an frugal number, since it uses more digits than its factorization.

12933148176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 18 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 12933148176 in words is "twelve billion, nine hundred thirty-three million, one hundred forty-eight thousand, one hundred seventy-six".