18865145200 has 120 divisors (see below), whose sum is σ = 49531093200. Its totient is φ = 6847948800.

The previous prime is 18865145197. The next prime is 18865145207. The reversal of 18865145200 is 254156881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18865145207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2711326 + ... + 2718274.

It is an arithmetic number, because the mean of its divisors is an integer number (412759110).

Almost surely, 2^18865145200 is an apocalyptic number.

18865145200 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 18865145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24765546600).

18865145200 is an abundant number, since it is smaller than the sum of its proper divisors (30665948000).

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

18865145200 is a wasteful number, since it uses less digits than its factorization.

18865145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7595 (or 7584 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 18865145200 in words is "eighteen billion, eight hundred sixty-five million, one hundred forty-five thousand, two hundred".