6011823168 has 336 divisors, whose sum is σ = 19690909056. Its totient is φ = 1739612160.

The previous prime is 6011823151. The next prime is 6011823173. The reversal of 6011823168 is 8613281106.

6011823168 is a `hidden beast` number, since 601 + 18 + 2 + 31 + 6 + 8 = 666.

It is a super-2 number, since 2×6011823168² = 72284035606603112448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11538748 + ... + 11539268.

It is an arithmetic number, because the mean of its divisors is an integer number (58603896).

Almost surely, 2^6011823168 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 6011823168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9845454528).

6011823168 is an abundant number, since it is smaller than the sum of its proper divisors (13679085888).

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

6011823168 is a wasteful number, since it uses less digits than its factorization.

6011823168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 6011823168 is about 77535.9475856199. The cubic root of 6011823168 is about 1818.3133720425.

The spelling of 6011823168 in words is "six billion, eleven million, eight hundred twenty-three thousand, one hundred sixty-eight".