12774537216 has 576 divisors, whose sum is σ = 46267603200. Its totient is φ = 3439853568.

The previous prime is 12774537211. The next prime is 12774537241. The reversal of 12774537216 is 61273547721.

12774537216 is a `hidden beast` number, since 1 + 27 + 74 + 537 + 21 + 6 = 666.

12774537216 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 (576).

Its product of digits (493920) is a multiple of the sum of its prime divisors (224).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12774537211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 66189216 + ... + 66189408.

It is an arithmetic number, because the mean of its divisors is an integer number (80325700).

Almost surely, 2^12774537216 is an apocalyptic number.

12774537216 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 12774537216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23133801600).

12774537216 is an abundant number, since it is smaller than the sum of its proper divisors (33493065984).

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

12774537216 is an equidigital number, since it uses as much as digits as its factorization.

12774537216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 224 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 12774537216 in words is "twelve billion, seven hundred seventy-four million, five hundred thirty-seven thousand, two hundred sixteen".