18478605600 has 1728 divisors, whose sum is σ = 89769254400. Its totient is φ = 3622993920.

The previous prime is 18478605571. The next prime is 18478605631. The reversal of 18478605600 is 650687481.

It is a happy number.

18478605600 is a `hidden beast` number, since 1 + 8 + 4 + 7 + 86 + 0 + 560 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 233906361 + ... + 233906439.

It is an arithmetic number, because the mean of its divisors is an integer number (51949800).

Almost surely, 2^18478605600 is an apocalyptic number.

18478605600 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 18478605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44884627200).

18478605600 is an abundant number, since it is smaller than the sum of its proper divisors (71290648800).

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

18478605600 is a wasteful number, since it uses less digits than its factorization.

18478605600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 18478605600 in words is "eighteen billion, four hundred seventy-eight million, six hundred five thousand, six hundred".