638364144 has 80 divisors (see below), whose sum is σ = 1904878080. Its totient is φ = 182062080.

The previous prime is 638364113. The next prime is 638364151. The reversal of 638364144 is 441463836.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26584 + ... + 44535.

It is an arithmetic number, because the mean of its divisors is an integer number (23810976).

Almost surely, 2^638364144 is an apocalyptic number.

It is an amenable number.

638364144 is an abundant number, since it is smaller than the sum of its proper divisors (1266513936).

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

638364144 is a wasteful number, since it uses less digits than its factorization.

638364144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71158 (or 71152 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 638364144 is about 25265.8691518816. The cubic root of 638364144 is about 861.0390110218.

The spelling of 638364144 in words is "six hundred thirty-eight million, three hundred sixty-four thousand, one hundred forty-four".