8456813424 has 150 divisors (see below), whose sum is σ = 25352858960. Its totient is φ = 2721382272.

The previous prime is 8456813419. The next prime is 8456813461. The reversal of 8456813424 is 4243186548.

8456813424 is a `hidden beast` number, since 84 + 568 + 1 + 3 + 4 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8456813424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1086057 + ... + 1093815.

Almost surely, 2^8456813424 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 8456813424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12676429480).

8456813424 is an abundant number, since it is smaller than the sum of its proper divisors (16896045536).

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

8456813424 is a wasteful number, since it uses less digits than its factorization.

8456813424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7837 (or 7793 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 8456813424 is about 91960.9342275295. The cubic root of 8456813424 is about 2037.3653531607.

The spelling of 8456813424 in words is "eight billion, four hundred fifty-six million, eight hundred thirteen thousand, four hundred twenty-four".