12606414296238 has 160 divisors (see below), whose sum is σ = 32350264117248. Its totient is φ = 3594346747200.

The previous prime is 12606414296233. The next prime is 12606414296291. The reversal of 12606414296238 is 83269241460621.

12606414296238 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 6 + 4 + 1 + 4 + 2 + 9 + 623 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12606414296233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1147388181 + ... + 1147399167.

Almost surely, 2^{12606414296238} is an apocalyptic number.

12606414296238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12606414296238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16175132058624).

12606414296238 is an abundant number, since it is smaller than the sum of its proper divisors (19743849821010).

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

12606414296238 is a wasteful number, since it uses less digits than its factorization.

12606414296238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13020 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 12606414296238 in words is "twelve trillion, six hundred six billion, four hundred fourteen million, two hundred ninety-six thousand, two hundred thirty-eight".