6142559346 has 288 divisors, whose sum is σ = 17747009280. Its totient is φ = 1574445600.

The previous prime is 6142559341. The next prime is 6142559347. The reversal of 6142559346 is 6439552416.

6142559346 is a `hidden beast` number, since 6 + 14 + 2 + 5 + 593 + 46 = 666.

It is not an unprimeable number, because it can be changed into a prime (6142559341) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34315885 + ... + 34316063.

It is an arithmetic number, because the mean of its divisors is an integer number (61621560).

Almost surely, 2^6142559346 is an apocalyptic number.

6142559346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6142559346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8873504640).

6142559346 is an abundant number, since it is smaller than the sum of its proper divisors (11604449934).

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

6142559346 is a wasteful number, since it uses less digits than its factorization.

6142559346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 333 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 6142559346 is about 78374.4814719689. The cubic root of 6142559346 is about 1831.3996226282.

The spelling of 6142559346 in words is "six billion, one hundred forty-two million, five hundred fifty-nine thousand, three hundred forty-six".