8995114800 has 600 divisors, whose sum is σ = 39081578976. Its totient is φ = 1934254080.

The previous prime is 8995114789. The next prime is 8995114841. The reversal of 8995114800 is 84115998.

8995114800 is a `hidden beast` number, since 8 + 99 + 511 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3854434 + ... + 3856766.

Almost surely, 2^8995114800 is an apocalyptic number.

8995114800 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 8995114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19540789488).

8995114800 is an abundant number, since it is smaller than the sum of its proper divisors (30086464176).

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

8995114800 is a wasteful number, since it uses less digits than its factorization.

8995114800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 8995114800 is about 94842.5790454899. The cubic root of 8995114800 is about 2079.7073984362.

The spelling of 8995114800 in words is "eight billion, nine hundred ninety-five million, one hundred fourteen thousand, eight hundred".