6188118816 has 192 divisors, whose sum is σ = 19256832000. Its totient is φ = 1719014400.

The previous prime is 6188118793. The next prime is 6188118821.

6188118816 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617010 + ... + 626958.

It is an arithmetic number, because the mean of its divisors is an integer number (100296000).

Almost surely, 2^6188118816 is an apocalyptic number.

6188118816 is a gapful number since it is divisible by the number (66) 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 6188118816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9628416000).

6188118816 is an abundant number, since it is smaller than the sum of its proper divisors (13068713184).

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

6188118816 is a wasteful number, since it uses less digits than its factorization.

6188118816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10023 (or 10015 counting only the distinct ones).

The product of its digits is 147456, while the sum is 48.

The square root of 6188118816 is about 78664.5969671237. The cubic root of 6188118816 is about 1835.9163151703.

The spelling of 6188118816 in words is "six billion, one hundred eighty-eight million, one hundred eighteen thousand, eight hundred sixteen".