6166223271936 has 1728 divisors, whose sum is σ = 23776062710400. Its totient is φ = 1521657446400.

The previous prime is 6166223271913. The next prime is 6166223271947. The reversal of 6166223271936 is 6391723226616.

6166223271936 is a `hidden beast` number, since 6 + 1 + 6 + 622 + 3 + 2 + 7 + 1 + 9 + 3 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29223806871 + ... + 29223807081.

It is an arithmetic number, because the mean of its divisors is an integer number (13759295550).

Almost surely, 2^{6166223271936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6166223271936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11888031355200).

6166223271936 is an abundant number, since it is smaller than the sum of its proper divisors (17609839438464).

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

6166223271936 is a wasteful number, since it uses less digits than its factorization.

6166223271936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 386 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 6166223271936 in words is "six trillion, one hundred sixty-six billion, two hundred twenty-three million, two hundred seventy-one thousand, nine hundred thirty-six".