12772474176 has 448 divisors, whose sum is σ = 45038223360. Its totient is φ = 3099801600.

The previous prime is 12772474159. The next prime is 12772474189. The reversal of 12772474176 is 67147427721.

12772474176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 412015281 + ... + 412015311.

Almost surely, 2^12772474176 is an apocalyptic number.

12772474176 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 12772474176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22519111680).

12772474176 is an abundant number, since it is smaller than the sum of its proper divisors (32265749184).

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

12772474176 is an equidigital number, since it uses as much as digits as its factorization.

12772474176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 83 counting only the distinct ones).

The product of its digits is 921984, while the sum is 48.

The spelling of 12772474176 in words is "twelve billion, seven hundred seventy-two million, four hundred seventy-four thousand, one hundred seventy-six".