8111149200 has 720 divisors, whose sum is σ = 36339638400. Its totient is φ = 1625702400.

The previous prime is 8111149177. The next prime is 8111149201. The reversal of 8111149200 is 29411118.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8111149201) 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, 8038296 + ... + 8039304.

It is an arithmetic number, because the mean of its divisors is an integer number (50471720).

Almost surely, 2^8111149200 is an apocalyptic number.

8111149200 is a gapful number since it is divisible by the number (80) 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 8111149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18169819200).

8111149200 is an abundant number, since it is smaller than the sum of its proper divisors (28228489200).

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

8111149200 is a wasteful number, since it uses less digits than its factorization.

8111149200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 8111149200 is about 90061.9187004141. The cubic root of 8111149200 is about 2009.2198650655.

The spelling of 8111149200 in words is "eight billion, one hundred eleven million, one hundred forty-nine thousand, two hundred".