18257144200 has 96 divisors (see below), whose sum is σ = 43726966920. Its totient is φ = 7084800000.

The previous prime is 18257144177. The next prime is 18257144221. The reversal of 18257144200 is 244175281.

It can be written as a sum of positive squares in 12 ways, for example, as 3401922276 + 14855221924 = 58326^2 + 121882^2 .

It is a super-4 number, since 4×18257144200⁴ (a number of 42 digits) contains 4444 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1478050 + ... + 1490350.

Almost surely, 2^18257144200 is an apocalyptic number.

18257144200 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 18257144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21863483460).

18257144200 is an abundant number, since it is smaller than the sum of its proper divisors (25469822720).

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

18257144200 is a wasteful number, since it uses less digits than its factorization.

18257144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12539 (or 12530 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The spelling of 18257144200 in words is "eighteen billion, two hundred fifty-seven million, one hundred forty-four thousand, two hundred".