18903894240 has 576 divisors, whose sum is σ = 78037198848. Its totient is φ = 3799756800.

The previous prime is 18903894239. The next prime is 18903894241. The reversal of 18903894240 is 4249830981.

It is an interprime number because it is at equal distance from previous prime (18903894239) and next prime (18903894241).

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

It is a self number, because there is not a number n which added to its sum of digits gives 18903894240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18903894241) 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 95 ways as a sum of consecutive naturals, for example, 8019142 + ... + 8021498.

It is an arithmetic number, because the mean of its divisors is an integer number (135481248).

Almost surely, 2^18903894240 is an apocalyptic number.

18903894240 is a gapful number since it is divisible by the number (10) 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 18903894240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39018599424).

18903894240 is an abundant number, since it is smaller than the sum of its proper divisors (59133304608).

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

18903894240 is a wasteful number, since it uses less digits than its factorization.

18903894240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 18903894240 in words is "eighteen billion, nine hundred three million, eight hundred ninety-four thousand, two hundred forty".