12949106688 has 416 divisors, whose sum is σ = 44978419200. Its totient is φ = 3604414464.

The previous prime is 12949106671. The next prime is 12949106717. The reversal of 12949106688 is 88660194921.

12949106688 is a `hidden beast` number, since 12 + 9 + 491 + 0 + 66 + 88 = 666.

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 31 ways as a sum of consecutive naturals, for example, 33287998 + ... + 33288386.

It is an arithmetic number, because the mean of its divisors is an integer number (108121200).

Almost surely, 2^12949106688 is an apocalyptic number.

12949106688 is a gapful number since it is divisible by the number (18) 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 12949106688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22489209600).

12949106688 is an abundant number, since it is smaller than the sum of its proper divisors (32029312512).

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

12949106688 is an equidigital number, since it uses as much as digits as its factorization.

12949106688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 12949106688 in words is "twelve billion, nine hundred forty-nine million, one hundred six thousand, six hundred eighty-eight".