8281845600 has 144 divisors (see below), whose sum is σ = 30808528128. Its totient is φ = 1892989440.

The previous prime is 8281845599. The next prime is 8281845601. The reversal of 8281845600 is 65481828.

It is an interprime number because it is at equal distance from previous prime (8281845599) and next prime (8281845601).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8281845601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229684 + ... + 263283.

It is an arithmetic number, because the mean of its divisors is an integer number (213948112).

Almost surely, 2^8281845600 is an apocalyptic number.

8281845600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8281845600 is an abundant number, since it is smaller than the sum of its proper divisors (22526682528).

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

8281845600 is a wasteful number, since it uses less digits than its factorization.

8281845600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492997 (or 492984 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 8281845600 is about 91004.6460352437. The cubic root of 8281845600 is about 2023.2165855797.

The spelling of 8281845600 in words is "eight billion, two hundred eighty-one million, eight hundred forty-five thousand, six hundred".