6141284000 has 96 divisors (see below), whose sum is σ = 15976907856. Its totient is φ = 2311987200.

The previous prime is 6141283969. The next prime is 6141284029. The reversal of 6141284000 is 4821416.

It can be written as a sum of positive squares in 8 ways, for example, as 24167056 + 6117116944 = 4916^2 + 78212^2 .

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, 22844 + ... + 113156.

Almost surely, 2^6141284000 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 6141284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988453928).

6141284000 is an abundant number, since it is smaller than the sum of its proper divisors (9835623856).

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

6141284000 is a wasteful number, since it uses less digits than its factorization.

6141284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90355 (or 90337 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 6141284000 is about 78366.3448171471. The cubic root of 6141284000 is about 1831.2728660263.

The spelling of 6141284000 in words is "six billion, one hundred forty-one million, two hundred eighty-four thousand".