18723355200 has 1008 divisors, whose sum is σ = 78814330560. Its totient is φ = 4285440000.

The previous prime is 18723355181. The next prime is 18723355201. The reversal of 18723355200 is 255332781.

It is a happy number.

18723355200 is a `hidden beast` number, since 1 + 8 + 72 + 33 + 552 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18723355201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 456667180 + ... + 456667220.

It is an arithmetic number, because the mean of its divisors is an integer number (78188820).

Almost surely, 2^18723355200 is an apocalyptic number.

18723355200 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 18723355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39407165280).

18723355200 is an abundant number, since it is smaller than the sum of its proper divisors (60090975360).

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

18723355200 is a wasteful number, since it uses less digits than its factorization.

18723355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 18723355200 its reverse (255332781), we get a palindrome (18978687981).

The spelling of 18723355200 in words is "eighteen billion, seven hundred twenty-three million, three hundred fifty-five thousand, two hundred".