12677307618816 has 320 divisors, whose sum is σ = 37941457752000. Its totient is φ = 4179050496000.

The previous prime is 12677307618751. The next prime is 12677307618823. The reversal of 12677307618816 is 61881670377621.

12677307618816 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 7 + 3 + 0 + 7 + 618 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313841960 + ... + 1313851608.

It is an arithmetic number, because the mean of its divisors is an integer number (118567055475).

Almost surely, 2^{12677307618816} is an apocalyptic number.

12677307618816 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 12677307618816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18970728876000).

12677307618816 is an abundant number, since it is smaller than the sum of its proper divisors (25264150133184).

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

12677307618816 is an equidigital number, since it uses as much as digits as its factorization.

12677307618816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10718 (or 10696 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 12677307618816 in words is "twelve trillion, six hundred seventy-seven billion, three hundred seven million, six hundred eighteen thousand, eight hundred sixteen".