3851543206656 has 216 divisors, whose sum is σ = 11142812169216. Its totient is φ = 1279478323200.

The previous prime is 3851543206639. The next prime is 3851543206681. The reversal of 3851543206656 is 6566023451583.

3851543206656 is a `hidden beast` number, since 3 + 8 + 515 + 43 + 20 + 6 + 65 + 6 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1000139131 + ... + 1000142981.

It is an arithmetic number, because the mean of its divisors is an integer number (51587093376).

Almost surely, 2^{3851543206656} is an apocalyptic number.

3851543206656 is a gapful number since it is divisible by the number (36) 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 3851543206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571406084608).

3851543206656 is an abundant number, since it is smaller than the sum of its proper divisors (7291268962560).

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

3851543206656 is a wasteful number, since it uses less digits than its factorization.

3851543206656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 3851543206656 in words is "three trillion, eight hundred fifty-one billion, five hundred forty-three million, two hundred six thousand, six hundred fifty-six".