18973468800 has 1152 divisors, whose sum is σ = 84527089920. Its totient is φ = 3981312000.

The previous prime is 18973468777. The next prime is 18973468807. The reversal of 18973468800 is 886437981.

18973468800 is a `hidden beast` number, since 18 + 97 + 3 + 468 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (18973468807) 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, 70012665 + ... + 70012935.

It is an arithmetic number, because the mean of its divisors is an integer number (73374210).

Almost surely, 2^18973468800 is an apocalyptic number.

18973468800 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 18973468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42263544960).

18973468800 is an abundant number, since it is smaller than the sum of its proper divisors (65553621120).

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

18973468800 is a wasteful number, since it uses less digits than its factorization.

18973468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 18973468800 in words is "eighteen billion, nine hundred seventy-three million, four hundred sixty-eight thousand, eight hundred".