38682509161086 has 384 divisors, whose sum is σ = 109158580177920. Its totient is φ = 9635364274176.

The previous prime is 38682509161081. The next prime is 38682509161111. The reversal of 38682509161086 is 68016190528683.

38682509161086 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 2 + 5 + 0 + 9 + 1 + 610 + 8 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38682509161081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 327600570 + ... + 327718626.

It is an arithmetic number, because the mean of its divisors is an integer number (284267135880).

Almost surely, 2^{38682509161086} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38682509161086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54579290088960).

38682509161086 is an abundant number, since it is smaller than the sum of its proper divisors (70476071016834).

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

38682509161086 is a wasteful number, since it uses less digits than its factorization.

38682509161086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118288 (or 118285 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 38682509161086 in words is "thirty-eight trillion, six hundred eighty-two billion, five hundred nine million, one hundred sixty-one thousand, eighty-six".