12386045952 has 234 divisors, whose sum is σ = 41624843598. Its totient is φ = 3538354176.

The previous prime is 12386045923. The next prime is 12386045953. The reversal of 12386045952 is 25954068321.

12386045952 is a `hidden beast` number, since 1 + 2 + 38 + 604 + 5 + 9 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6721376256 + 5664669696 = 81984^2 + 75264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12386045898 and 12386045907.

It is not an unprimeable number, because it can be changed into a prime (12386045953) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1802908 + ... + 1809764.

It is an arithmetic number, because the mean of its divisors is an integer number (177883947).

Almost surely, 2^12386045952 is an apocalyptic number.

12386045952 is a gapful number since it is divisible by the number (12) 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 12386045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20812421799).

12386045952 is an abundant number, since it is smaller than the sum of its proper divisors (29238797646).

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

12386045952 is an equidigital number, since it uses as much as digits as its factorization.

12386045952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6901 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 12386045952 in words is "twelve billion, three hundred eighty-six million, forty-five thousand, nine hundred fifty-two".