18924825504 has 144 divisors (see below), whose sum is σ = 53903701152. Its totient is φ = 5811047424.

The previous prime is 18924825497. The next prime is 18924825509. The reversal of 18924825504 is 40552842981.

It is a super-3 number, since 3×18924825504³ (a number of 32 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (18924825509) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10982787 + ... + 10984509.

It is an arithmetic number, because the mean of its divisors is an integer number (374331258).

Almost surely, 2^18924825504 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 18924825504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26951850576).

18924825504 is an abundant number, since it is smaller than the sum of its proper divisors (34978875648).

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

18924825504 is a wasteful number, since it uses less digits than its factorization.

18924825504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 18924825504 in words is "eighteen billion, nine hundred twenty-four million, eight hundred twenty-five thousand, five hundred four".