6182142208 has 144 divisors (see below), whose sum is σ = 14423935680. Its totient is φ = 2613248000.

The previous prime is 6182142181. The next prime is 6182142221. The reversal of 6182142208 is 8022412816.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4259883 + ... + 4261333.

It is an arithmetic number, because the mean of its divisors is an integer number (100166220).

Almost surely, 2^6182142208 is an apocalyptic number.

6182142208 is a gapful number since it is divisible by the number (68) 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 6182142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211967840).

6182142208 is an abundant number, since it is smaller than the sum of its proper divisors (8241793472).

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

6182142208 is a wasteful number, since it uses less digits than its factorization.

6182142208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 6182142208 is about 78626.5998756146. The cubic root of 6182142208 is about 1835.3250699760.

The spelling of 6182142208 in words is "six billion, one hundred eighty-two million, one hundred forty-two thousand, two hundred eight".