12137351688 has 640 divisors, whose sum is σ = 46103904000. Its totient is φ = 2886451200.

The previous prime is 12137351687. The next prime is 12137351693. The reversal of 12137351688 is 88615373121.

It is a happy number.

12137351688 is a `hidden beast` number, since 1 + 21 + 37 + 3 + 516 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (12137351687) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34777338 + ... + 34777686.

It is an arithmetic number, because the mean of its divisors is an integer number (72037350).

Almost surely, 2^12137351688 is an apocalyptic number.

12137351688 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 12137351688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23051952000).

12137351688 is an abundant number, since it is smaller than the sum of its proper divisors (33966552312).

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

12137351688 is a wasteful number, since it uses less digits than its factorization.

12137351688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 430 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 12137351688 in words is "twelve billion, one hundred thirty-seven million, three hundred fifty-one thousand, six hundred eighty-eight".