8253142176 has 96 divisors (see below), whose sum is σ = 22832893440. Its totient is φ = 2603038464.

The previous prime is 8253142153. The next prime is 8253142199. The reversal of 8253142176 is 6712413528.

It is an interprime number because it is at equal distance from previous prime (8253142153) and next prime (8253142199).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8253142176² (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1790691 + ... + 1795293.

It is an arithmetic number, because the mean of its divisors is an integer number (237842640).

Almost surely, 2^8253142176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8253142176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416446720).

8253142176 is an abundant number, since it is smaller than the sum of its proper divisors (14579751264).

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

8253142176 is a wasteful number, since it uses less digits than its factorization.

8253142176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5618 (or 5610 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 8253142176 is about 90846.8060858498. The cubic root of 8253142176 is about 2020.8765088083.

The spelling of 8253142176 in words is "eight billion, two hundred fifty-three million, one hundred forty-two thousand, one hundred seventy-six".