8295146496 has 660 divisors, whose sum is σ = 31229367708. Its totient is φ = 2173796352.

The previous prime is 8295146491. The next prime is 8295146533. The reversal of 8295146496 is 6946415928.

8295146496 is a `hidden beast` number, since 8 + 2 + 9 + 5 + 146 + 496 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1792336896 + 6502809600 = 42336^2 + 80640^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3732480) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (8295146491) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52835250 + ... + 52835406.

Almost surely, 2^8295146496 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 8295146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15614683854).

8295146496 is an abundant number, since it is smaller than the sum of its proper divisors (22934221212).

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

8295146496 is a wasteful number, since it uses less digits than its factorization.

8295146496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 182 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 8295146496 is about 91077.6948324890. The cubic root of 8295146496 is about 2024.2991220544.

The spelling of 8295146496 in words is "eight billion, two hundred ninety-five million, one hundred forty-six thousand, four hundred ninety-six".