12136040045766 has 640 divisors, whose sum is σ = 35323171994880. Its totient is φ = 3028683571200.

The previous prime is 12136040045711. The next prime is 12136040045797. The reversal of 12136040045766 is 66754004063121.

12136040045766 is a `hidden beast` number, since 1 + 2 + 1 + 36 + 0 + 40 + 0 + 4 + 576 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9415080850 + ... + 9415082138.

It is an arithmetic number, because the mean of its divisors is an integer number (55192456242).

Almost surely, 2^{12136040045766} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12136040045766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17661585997440).

12136040045766 is an abundant number, since it is smaller than the sum of its proper divisors (23187131949114).

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

12136040045766 is a wasteful number, since it uses less digits than its factorization.

12136040045766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12136040045766 in words is "twelve trillion, one hundred thirty-six billion, forty million, forty-five thousand, seven hundred sixty-six".