18812178000 has 960 divisors, whose sum is σ = 83891059200. Its totient is φ = 3894912000.

The previous prime is 18812177999. The next prime is 18812178013. The reversal of 18812178000 is 87121881.

It is a super-2 number, since 2×18812178000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 67913862 + ... + 67914138.

It is an arithmetic number, because the mean of its divisors is an integer number (87386520).

Almost surely, 2^18812178000 is an apocalyptic number.

18812178000 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 18812178000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41945529600).

18812178000 is an abundant number, since it is smaller than the sum of its proper divisors (65078881200).

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

18812178000 is a wasteful number, since it uses less digits than its factorization.

18812178000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

Adding to 18812178000 its reverse (87121881), we get a palindrome (18899299881).

The spelling of 18812178000 in words is "eighteen billion, eight hundred twelve million, one hundred seventy-eight thousand".