11538868166712 has 192 divisors, whose sum is σ = 32907490936320. Its totient is φ = 3787127612928.

The previous prime is 11538868166699. The next prime is 11538868166731. The reversal of 11538868166712 is 21766186883511.

It is a happy number.

11538868166712 is a `hidden beast` number, since 1 + 1 + 538 + 8 + 6 + 81 + 6 + 6 + 7 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11538868166712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297857808 + ... + 297896544.

It is an arithmetic number, because the mean of its divisors is an integer number (171393181960).

Almost surely, 2^{11538868166712} is an apocalyptic number.

11538868166712 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 11538868166712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16453745468160).

11538868166712 is an abundant number, since it is smaller than the sum of its proper divisors (21368622769608).

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

11538868166712 is a wasteful number, since it uses less digits than its factorization.

11538868166712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41112 (or 41096 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 11538868166712 in words is "eleven trillion, five hundred thirty-eight billion, eight hundred sixty-eight million, one hundred sixty-six thousand, seven hundred twelve".