6181086384 has 240 divisors, whose sum is σ = 20206742400. Its totient is φ = 1744398720.

The previous prime is 6181086367. The next prime is 6181086421. The reversal of 6181086384 is 4836801816.

It is a happy number.

6181086384 is a `hidden beast` number, since 6 + 1 + 8 + 1 + 0 + 8 + 638 + 4 = 666.

It is a congruent number.

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, 104764147 + ... + 104764205.

It is an arithmetic number, because the mean of its divisors is an integer number (84194760).

Almost surely, 2^6181086384 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 6181086384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10103371200).

6181086384 is an abundant number, since it is smaller than the sum of its proper divisors (14025656016).

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

6181086384 is a wasteful number, since it uses less digits than its factorization.

6181086384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 6181086384 is about 78619.8854234729. The cubic root of 6181086384 is about 1835.2205813528.

The spelling of 6181086384 in words is "six billion, one hundred eighty-one million, eighty-six thousand, three hundred eighty-four".