8456361816 has 128 divisors (see below), whose sum is σ = 25633774080. Its totient is φ = 2269403136.

The previous prime is 8456361773. The next prime is 8456361869. The reversal of 8456361816 is 6181636548.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1559526 + ... + 1564938.

It is an arithmetic number, because the mean of its divisors is an integer number (200263860).

Almost surely, 2^8456361816 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 8456361816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12816887040).

8456361816 is an abundant number, since it is smaller than the sum of its proper divisors (17177412264).

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

8456361816 is a wasteful number, since it uses less digits than its factorization.

8456361816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5989 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 8456361816 is about 91958.4787607973. The cubic root of 8456361816 is about 2037.3290862745.

The spelling of 8456361816 in words is "eight billion, four hundred fifty-six million, three hundred sixty-one thousand, eight hundred sixteen".