8144240064 has 56 divisors (see below), whose sum is σ = 21562606608. Its totient is φ = 2712944640.

The previous prime is 8144240057. The next prime is 8144240081. The reversal of 8144240064 is 4600424418.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293344 + ... + 319904.

Almost surely, 2^8144240064 is an apocalyptic number.

It is an amenable number.

8144240064 is an abundant number, since it is smaller than the sum of its proper divisors (13418366544).

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

8144240064 is a wasteful number, since it uses less digits than its factorization.

8144240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28173 (or 28163 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 8144240064 is about 90245.4434528414. The cubic root of 8144240064 is about 2011.9484800918.

The spelling of 8144240064 in words is "eight billion, one hundred forty-four million, two hundred forty thousand, sixty-four".