6166231085952 has 768 divisors, whose sum is σ = 22185146880000. Its totient is φ = 1604190044160.

The previous prime is 6166231085923. The next prime is 6166231085953. The reversal of 6166231085952 is 2595801326616.

6166231085952 is a `hidden beast` number, since 6 + 1 + 6 + 623 + 1 + 0 + 8 + 5 + 9 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6166231085953) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 707700348 + ... + 707709060.

It is an arithmetic number, because the mean of its divisors is an integer number (28886910000).

Almost surely, 2^{6166231085952} is an apocalyptic number.

6166231085952 is a gapful number since it is divisible by the number (62) 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 6166231085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11092573440000).

6166231085952 is an abundant number, since it is smaller than the sum of its proper divisors (16018915794048).

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

6166231085952 is a wasteful number, since it uses less digits than its factorization.

6166231085952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8939 (or 8924 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 6166231085952 in words is "six trillion, one hundred sixty-six billion, two hundred thirty-one million, eighty-five thousand, nine hundred fifty-two".