12361190814 has 128 divisors (see below), whose sum is σ = 31884748800. Its totient is φ = 3520265184.

The previous prime is 12361190719. The next prime is 12361190833. The reversal of 12361190814 is 41809116321.

12361190814 is a `hidden beast` number, since 1 + 23 + 611 + 9 + 0 + 8 + 14 = 666.

12361190814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14910552 + ... + 14911380.

It is an arithmetic number, because the mean of its divisors is an integer number (249099600).

Almost surely, 2^12361190814 is an apocalyptic number.

12361190814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12361190814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15942374400).

12361190814 is an abundant number, since it is smaller than the sum of its proper divisors (19523557986).

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

12361190814 is an frugal number, since it uses more digits than its factorization.

12361190814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 12361190814 in words is "twelve billion, three hundred sixty-one million, one hundred ninety thousand, eight hundred fourteen".