8645114880 has 352 divisors, whose sum is σ = 32070758400. Its totient is φ = 2204319744.

The previous prime is 8645114837. The next prime is 8645114887. The reversal of 8645114880 is 884115468.

8645114880 is a `hidden beast` number, since 86 + 451 + 1 + 48 + 80 = 666.

It is a super-2 number, since 2×8645114880² (a number of 21 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (8645114887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3178161 + ... + 3180879.

Almost surely, 2^8645114880 is an apocalyptic number.

8645114880 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 8645114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16035379200).

8645114880 is an abundant number, since it is smaller than the sum of its proper divisors (23425643520).

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

8645114880 is a wasteful number, since it uses less digits than its factorization.

8645114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 8645114880 is about 92979.1099118506. The cubic root of 8645114880 is about 2052.3759784378.

The spelling of 8645114880 in words is "eight billion, six hundred forty-five million, one hundred fourteen thousand, eight hundred eighty".