3818166371712 has 1536 divisors, whose sum is σ = 14786703360000. Its totient is φ = 935998156800.

The previous prime is 3818166371707. The next prime is 3818166371737. The reversal of 3818166371712 is 2171736618183.

3818166371712 is a `hidden beast` number, since 38 + 18 + 166 + 371 + 71 + 2 = 666.

3818166371712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2032128) is a multiple of the sum of its prime divisors (756).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5793878839 + ... + 5793879497.

It is an arithmetic number, because the mean of its divisors is an integer number (9626760000).

Almost surely, 2^{3818166371712} is an apocalyptic number.

3818166371712 is a gapful number since it is divisible by the number (32) 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 3818166371712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393351680000).

3818166371712 is an abundant number, since it is smaller than the sum of its proper divisors (10968536988288).

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

3818166371712 is a wasteful number, since it uses less digits than its factorization.

3818166371712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 756 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 3818166371712 in words is "three trillion, eight hundred eighteen billion, one hundred sixty-six million, three hundred seventy-one thousand, seven hundred twelve".