18245267040 has 1152 divisors, whose sum is σ = 81600970752. Its totient is φ = 3321077760.

The previous prime is 18245267021. The next prime is 18245267071. The reversal of 18245267040 is 4076254281.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 18245267040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 143663457 + ... + 143663583.

It is an arithmetic number, because the mean of its divisors is an integer number (70834176).

Almost surely, 2^18245267040 is an apocalyptic number.

18245267040 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 18245267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40800485376).

18245267040 is an abundant number, since it is smaller than the sum of its proper divisors (63355703712).

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

18245267040 is a wasteful number, since it uses less digits than its factorization.

18245267040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 18245267040 in words is "eighteen billion, two hundred forty-five million, two hundred sixty-seven thousand, forty".