8229495456 has 768 divisors, whose sum is σ = 32188907520. Its totient is φ = 1984020480.

The previous prime is 8229495433. The next prime is 8229495457. The reversal of 8229495456 is 6545949228.

8229495456 is a `hidden beast` number, since 8 + 2 + 2 + 94 + 9 + 545 + 6 = 666.

8229495456 is nontrivially palindromic in base 5.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (8229495457) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62820511 + ... + 62820641.

It is an arithmetic number, because the mean of its divisors is an integer number (41912640).

Almost surely, 2^8229495456 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 8229495456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094453760).

8229495456 is an abundant number, since it is smaller than the sum of its proper divisors (23959412064).

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

8229495456 is a wasteful number, since it uses less digits than its factorization.

8229495456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 8229495456 is about 90716.5666016963. The cubic root of 8229495456 is about 2018.9446056924.

The spelling of 8229495456 in words is "eight billion, two hundred twenty-nine million, four hundred ninety-five thousand, four hundred fifty-six".