8456408816 has 40 divisors (see below), whose sum is σ = 17012527200. Its totient is φ = 4067168000.

The previous prime is 8456408803. The next prime is 8456408843. The reversal of 8456408816 is 6188046548.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90941 + ... + 158691.

It is an arithmetic number, because the mean of its divisors is an integer number (425313180).

Almost surely, 2^8456408816 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 8456408816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8506263600).

8456408816 is an abundant number, since it is smaller than the sum of its proper divisors (8556118384).

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

8456408816 is a wasteful number, since it uses less digits than its factorization.

8456408816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68057 (or 68051 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 50.

The square root of 8456408816 is about 91958.7343105591. The cubic root of 8456408816 is about 2037.3328607223.

The spelling of 8456408816 in words is "eight billion, four hundred fifty-six million, four hundred eight thousand, eight hundred sixteen".