6142235184 has 480 divisors, whose sum is σ = 20441191680. Its totient is φ = 1773674496.

The previous prime is 6142235171. The next prime is 6142235207. The reversal of 6142235184 is 4815322416.

It is a happy number.

6142235184 is a `hidden beast` number, since 614 + 2 + 2 + 35 + 1 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84140172 + ... + 84140244.

It is an arithmetic number, because the mean of its divisors is an integer number (42585816).

Almost surely, 2^6142235184 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 6142235184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10220595840).

6142235184 is an abundant number, since it is smaller than the sum of its proper divisors (14298956496).

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

6142235184 is a wasteful number, since it uses less digits than its factorization.

6142235184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 181 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 6142235184 is about 78372.4134118632. The cubic root of 6142235184 is about 1831.3674058395.

The spelling of 6142235184 in words is "six billion, one hundred forty-two million, two hundred thirty-five thousand, one hundred eighty-four".