18448754688 has 576 divisors, whose sum is σ = 69544500480. Its totient is φ = 4572315648.

The previous prime is 18448754629. The next prime is 18448754719. The reversal of 18448754688 is 88645784481.

18448754688 is a `hidden beast` number, since 1 + 8 + 4 + 4 + 8 + 7 + 546 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28513981 + ... + 28514627.

It is an arithmetic number, because the mean of its divisors is an integer number (120736980).

Almost surely, 2^18448754688 is an apocalyptic number.

18448754688 is a gapful number since it is divisible by the number (18) 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 18448754688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34772250240).

18448754688 is an abundant number, since it is smaller than the sum of its proper divisors (51095745792).

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

18448754688 is a wasteful number, since it uses less digits than its factorization.

18448754688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 689 counting only the distinct ones).

The product of its digits is 55050240, while the sum is 63.

The spelling of 18448754688 in words is "eighteen billion, four hundred forty-eight million, seven hundred fifty-four thousand, six hundred eighty-eight".