12694350816 has 216 divisors, whose sum is σ = 42093127440. Its totient is φ = 3618349056.

The previous prime is 12694350811. The next prime is 12694350821. The reversal of 12694350816 is 61805349621.

12694350816 is a `hidden beast` number, since 126 + 9 + 4 + 3 + 508 + 16 = 666.

12694350816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12694350811) and next prime (12694350821).

It is a super-2 number, since 2×12694350816² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12694350811) 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 35 ways as a sum of consecutive naturals, for example, 8141845 + ... + 8143403.

It is an arithmetic number, because the mean of its divisors is an integer number (194875590).

Almost surely, 2^12694350816 is an apocalyptic number.

12694350816 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 12694350816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21046563720).

12694350816 is an abundant number, since it is smaller than the sum of its proper divisors (29398776624).

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

12694350816 is a wasteful number, since it uses less digits than its factorization.

12694350816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12694350816 in words is "twelve billion, six hundred ninety-four million, three hundred fifty thousand, eight hundred sixteen".