8086450944 has 288 divisors, whose sum is σ = 26166470400. Its totient is φ = 2183086080.

The previous prime is 8086450927. The next prime is 8086451011. The reversal of 8086450944 is 4490546808.

It is a super-2 number, since 2×8086450944² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8086450893 and 8086450902.

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, 3183627 + ... + 3186165.

It is an arithmetic number, because the mean of its divisors is an integer number (90855800).

Almost surely, 2^8086450944 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 8086450944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13083235200).

8086450944 is an abundant number, since it is smaller than the sum of its proper divisors (18080019456).

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

8086450944 is a wasteful number, since it uses less digits than its factorization.

8086450944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 8086450944 is about 89924.6959627888. The cubic root of 8086450944 is about 2007.1784494396.

The spelling of 8086450944 in words is "eight billion, eighty-six million, four hundred fifty thousand, nine hundred forty-four".