8983114560 has 336 divisors, whose sum is σ = 36269590656. Its totient is φ = 1997623296.

The previous prime is 8983114537. The next prime is 8983114583. The reversal of 8983114560 is 654113898.

8983114560 is a `hidden beast` number, since 8 + 9 + 83 + 1 + 1 + 4 + 560 = 666.

8983114560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8983114537) and next prime (8983114583).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×8983114560³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 739899 + ... + 751941.

Almost surely, 2^8983114560 is an apocalyptic number.

8983114560 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 8983114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18134795328).

8983114560 is an abundant number, since it is smaller than the sum of its proper divisors (27286476096).

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

8983114560 is a wasteful number, since it uses less digits than its factorization.

8983114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12110 (or 12097 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8983114560 is about 94779.2939412401. The cubic root of 8983114560 is about 2078.7821519760.

The spelling of 8983114560 in words is "eight billion, nine hundred eighty-three million, one hundred fourteen thousand, five hundred sixty".