18006471600 has 240 divisors, whose sum is σ = 62264681472. Its totient is φ = 4421882880.

The previous prime is 18006471559. The next prime is 18006471601. The reversal of 18006471600 is 617460081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×18006471600³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (18006471601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8157697 + ... + 8159903.

Almost surely, 2^18006471600 is an apocalyptic number.

18006471600 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 18006471600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31132340736).

18006471600 is an abundant number, since it is smaller than the sum of its proper divisors (44258209872).

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

18006471600 is a wasteful number, since it uses less digits than its factorization.

18006471600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 18006471600 in words is "eighteen billion, six million, four hundred seventy-one thousand, six hundred".