18964845200 has 360 divisors, whose sum is σ = 55827426816. Its totient is φ = 6054912000.

The previous prime is 18964845157. The next prime is 18964845203. The reversal of 18964845200 is 254846981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18964845203) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 259792364 + ... + 259792436.

Almost surely, 2^18964845200 is an apocalyptic number.

18964845200 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 18964845200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27913713408).

18964845200 is an abundant number, since it is smaller than the sum of its proper divisors (36862581616).

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

18964845200 is a wasteful number, since it uses less digits than its factorization.

18964845200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 18964845200 in words is "eighteen billion, nine hundred sixty-four million, eight hundred forty-five thousand, two hundred".