12774916152 has 192 divisors, whose sum is σ = 38723443200. Its totient is φ = 3781002240.

The previous prime is 12774916127. The next prime is 12774916153. The reversal of 12774916152 is 25161947721.

12774916152 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 491 + 6 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12774916098 and 12774916107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12774916153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6301363 + ... + 6303389.

It is an arithmetic number, because the mean of its divisors is an integer number (201684600).

Almost surely, 2^12774916152 is an apocalyptic number.

12774916152 is a gapful number since it is divisible by the number (12) 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 12774916152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19361721600).

12774916152 is an abundant number, since it is smaller than the sum of its proper divisors (25948527048).

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

12774916152 is a wasteful number, since it uses less digits than its factorization.

12774916152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2339 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The spelling of 12774916152 in words is "twelve billion, seven hundred seventy-four million, nine hundred sixteen thousand, one hundred fifty-two".