18245293248 has 896 divisors, whose sum is σ = 68575610880. Its totient is φ = 4140564480.

The previous prime is 18245293219. The next prime is 18245293259. The reversal of 18245293248 is 84239254281.

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

It is a junction number, because it is equal to n+sod(n) for n = 18245293197 and 18245293206.

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 127 ways as a sum of consecutive naturals, for example, 299103138 + ... + 299103198.

It is an arithmetic number, because the mean of its divisors is an integer number (76535280).

Almost surely, 2^18245293248 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 18245293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34287805440).

18245293248 is an abundant number, since it is smaller than the sum of its proper divisors (50330317632).

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

18245293248 is a wasteful number, since it uses less digits than its factorization.

18245293248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The spelling of 18245293248 in words is "eighteen billion, two hundred forty-five million, two hundred ninety-three thousand, two hundred forty-eight".