8253946008 has 384 divisors, whose sum is σ = 29369733120. Its totient is φ = 2109317760.

The previous prime is 8253945967. The next prime is 8253946049. The reversal of 8253946008 is 8006493528.

8253946008 is a `hidden beast` number, since 8 + 2 + 5 + 39 + 4 + 600 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (8253945967) and next prime (8253946049).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10028685 + ... + 10029507.

It is an arithmetic number, because the mean of its divisors is an integer number (76483680).

Almost surely, 2^8253946008 is an apocalyptic number.

8253946008 is a gapful number since it is divisible by the number (88) 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 8253946008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14684866560).

8253946008 is an abundant number, since it is smaller than the sum of its proper divisors (21115787112).

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

8253946008 is a wasteful number, since it uses less digits than its factorization.

8253946008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8253946008 is about 90851.2300852333. The cubic root of 8253946008 is about 2020.9421158396.

The spelling of 8253946008 in words is "eight billion, two hundred fifty-three million, nine hundred forty-six thousand, eight".