6181589952 has 112 divisors (see below), whose sum is σ = 18192069280. Its totient is φ = 2058338304.

The previous prime is 6181589881. The next prime is 6181589959. The reversal of 6181589952 is 2599851816.

6181589952 is a `hidden beast` number, since 6 + 1 + 8 + 1 + 589 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6181589959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2924448 + ... + 2926560.

It is an arithmetic number, because the mean of its divisors is an integer number (162429190).

Almost surely, 2^6181589952 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 6181589952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9096034640).

6181589952 is an abundant number, since it is smaller than the sum of its proper divisors (12010479328).

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

6181589952 is a wasteful number, since it uses less digits than its factorization.

6181589952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3811 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 54.

The square root of 6181589952 is about 78623.0879067975. The cubic root of 6181589952 is about 1835.2704179675.

The spelling of 6181589952 in words is "six billion, one hundred eighty-one million, five hundred eighty-nine thousand, nine hundred fifty-two".