6311112192 has 640 divisors, whose sum is σ = 23962752000. Its totient is φ = 1639249920.

The previous prime is 6311112187. The next prime is 6311112221. The reversal of 6311112192 is 2912111136.

It is a happy number.

The cubic root of 6311112192 is 1848.

It is a perfect power (a cube), and thus also a powerful number.

6311112192 is a `hidden beast` number, since 631 + 1 + 1 + 1 + 21 + 9 + 2 = 666.

It is a super-2 number, since 2×6311112192² = 79660274200022089728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (648) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 573737467 + ... + 573737477.

It is an arithmetic number, because the mean of its divisors is an integer number (37441800).

Almost surely, 2^6311112192 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 6311112192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11981376000).

6311112192 is an abundant number, since it is smaller than the sum of its proper divisors (17651639808).

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

6311112192 is an frugal number, since it uses more digits than its factorization.

6311112192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 23 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 6311112192 is about 79442.5087217165.

Multiplying 6311112192 by its sum of digits (27), we get a cube (170400029184 = 5544³).

6311112192 divided by its sum of digits (27) gives a cube (233744896 = 616³).

The spelling of 6311112192 in words is "six billion, three hundred eleven million, one hundred twelve thousand, one hundred ninety-two".