2306606338134 has 192 divisors, whose sum is σ = 6167056896000. Its totient is φ = 608304660480.

The previous prime is 2306606338121. The next prime is 2306606338193. The reversal of 2306606338134 is 4318336066032.

2306606338134 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 6 + 0 + 633 + 8 + 1 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2306606338134.

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 95 ways as a sum of consecutive naturals, for example, 75465147 + ... + 75495705.

It is an arithmetic number, because the mean of its divisors is an integer number (32120088000).

Almost surely, 2^{2306606338134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2306606338134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083528448000).

2306606338134 is an abundant number, since it is smaller than the sum of its proper divisors (3860450557866).

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

2306606338134 is a wasteful number, since it uses less digits than its factorization.

2306606338134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31403 (or 31400 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 2306606338134 in words is "two trillion, three hundred six billion, six hundred six million, three hundred thirty-eight thousand, one hundred thirty-four".