6141600000 has 324 divisors, whose sum is σ = 22159214532. Its totient is φ = 1635840000.

The previous prime is 6141599963. The next prime is 6141600041. The reversal of 6141600000 is 61416.

6141600000 is a `hidden beast` number, since 61 + 4 + 1 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5987045376 + 154554624 = 77376^2 + 12432^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7199574 + ... + 7200426.

Almost surely, 2^6141600000 is an apocalyptic number.

6141600000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6141600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11079607266).

6141600000 is an abundant number, since it is smaller than the sum of its proper divisors (16017614532).

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

6141600000 is an frugal number, since it uses more digits than its factorization.

6141600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6141600000 is about 78368.3609628273. The cubic root of 6141600000 is about 1831.3042748924.

Adding to 6141600000 its reverse (61416), we get a palindrome (6141661416).

6141600000 divided by its reverse (61416) gives a 5-th power (100000 = 10⁵).

The spelling of 6141600000 in words is "six billion, one hundred forty-one million, six hundred thousand".