13182713856 has 405 divisors, whose sum is σ = 43107839229. Its totient is φ = 3879862272.

The previous prime is 13182713849. The next prime is 13182713897. The reversal of 13182713856 is 65831728131.

It is a happy number.

The square root of 13182713856 is 114816.

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

It can be written as a sum of positive squares in only one way, i.e., 1950105600 + 11232608256 = 44160^2 + 105984^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 573161461 + ... + 573161483.

Almost surely, 2^13182713856 is an apocalyptic number.

13182713856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13182713856 is the 114816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13182713856

13182713856 is an abundant number, since it is smaller than the sum of its proper divisors (29925125373).

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

13182713856 is an equidigital number, since it uses as much as digits as its factorization.

13182713856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 41 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 13182713856 in words is "thirteen billion, one hundred eighty-two million, seven hundred thirteen thousand, eight hundred fifty-six".