6161845200 has 240 divisors, whose sum is σ = 23286890496. Its totient is φ = 1362931200.

The previous prime is 6161845189. The next prime is 6161845201. The reversal of 6161845200 is 25481616.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6161845201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248569 + ... + 272231.

Almost surely, 2^6161845200 is an apocalyptic number.

6161845200 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 6161845200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11643445248).

6161845200 is an abundant number, since it is smaller than the sum of its proper divisors (17125045296).

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

6161845200 is a wasteful number, since it uses less digits than its factorization.

6161845200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23722 (or 23711 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 6161845200 is about 78497.4216137065. The cubic root of 6161845200 is about 1833.3143079752.

The spelling of 6161845200 in words is "six billion, one hundred sixty-one million, eight hundred forty-five thousand, two hundred".