12386830977048 has 128 divisors (see below), whose sum is σ = 34875920701440. Its totient is φ = 3632095104000.

The previous prime is 12386830977011. The next prime is 12386830977127. The reversal of 12386830977048 is 84077903868321.

It is a happy number.

It is a Cunningham number, because it is equal to 3519493²-1.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a self number, because there is not a number n which added to its sum of digits gives 12386830977048.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77348836 + ... + 77508812.

It is an arithmetic number, because the mean of its divisors is an integer number (272468130480).

Almost surely, 2^{12386830977048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12386830977048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17437960350720).

12386830977048 is an abundant number, since it is smaller than the sum of its proper divisors (22489089724392).

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

12386830977048 is a wasteful number, since it uses less digits than its factorization.

12386830977048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169489 (or 169485 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 12386830977048 in words is "twelve trillion, three hundred eighty-six billion, eight hundred thirty million, nine hundred seventy-seven thousand, forty-eight".