8144837064 has 448 divisors, whose sum is σ = 28645344000. Its totient is φ = 2112956928.

The previous prime is 8144837011. The next prime is 8144837089. The reversal of 8144837064 is 4607384418.

8144837064 is a `hidden beast` number, since 81 + 448 + 3 + 70 + 64 = 666.

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 111 ways as a sum of consecutive naturals, for example, 54663262 + ... + 54663410.

It is an arithmetic number, because the mean of its divisors is an integer number (63940500).

Almost surely, 2^8144837064 is an apocalyptic number.

8144837064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8144837064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322672000).

8144837064 is an abundant number, since it is smaller than the sum of its proper divisors (20500506936).

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

8144837064 is a wasteful number, since it uses less digits than its factorization.

8144837064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 8144837064 is about 90248.7510384493. The cubic root of 8144837064 is about 2011.9976397386.

The spelling of 8144837064 in words is "eight billion, one hundred forty-four million, eight hundred thirty-seven thousand, sixty-four".