12466676736 has 176 divisors, whose sum is σ = 37112601280. Its totient is φ = 4133928960.

The previous prime is 12466676671. The next prime is 12466676741. The reversal of 12466676736 is 63767666421.

It is a super-2 number, since 2×12466676736² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5832660 + ... + 5834796.

Almost surely, 2^12466676736 is an apocalyptic number.

12466676736 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 12466676736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18556300640).

12466676736 is an abundant number, since it is smaller than the sum of its proper divisors (24645924544).

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

12466676736 is a wasteful number, since it uses less digits than its factorization.

12466676736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2353 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 12466676736 in words is "twelve billion, four hundred sixty-six million, six hundred seventy-six thousand, seven hundred thirty-six".