8499456000 has 1152 divisors, whose sum is σ = 38267873280. Its totient is φ = 1769472000.

The previous prime is 8499455989. The next prime is 8499456013. The reversal of 8499456000 is 6549948.

It is a happy number.

8499456000 is a `hidden beast` number, since 84 + 9 + 9 + 4 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274175985 + ... + 274176015.

It is an arithmetic number, because the mean of its divisors is an integer number (33218640).

Almost surely, 2^8499456000 is an apocalyptic number.

8499456000 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 8499456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19133936640).

8499456000 is an abundant number, since it is smaller than the sum of its proper divisors (29768417280).

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

8499456000 is a wasteful number, since it uses less digits than its factorization.

8499456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8499456000 is about 92192.4942714970. The cubic root of 8499456000 is about 2040.7840123754.

The spelling of 8499456000 in words is "eight billion, four hundred ninety-nine million, four hundred fifty-six thousand".