18466056000 has 1344 divisors, whose sum is σ = 83077263360. Its totient is φ = 3968870400.

The previous prime is 18466055963. The next prime is 18466056001. The reversal of 18466056000 is 65066481.

18466056000 is a `hidden beast` number, since 1 + 8 + 46 + 6 + 0 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18466056001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 312983971 + ... + 312984029.

It is an arithmetic number, because the mean of its divisors is an integer number (61813440).

Almost surely, 2^18466056000 is an apocalyptic number.

18466056000 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 18466056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41538631680).

18466056000 is an abundant number, since it is smaller than the sum of its proper divisors (64611207360).

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

18466056000 is an equidigital number, since it uses as much as digits as its factorization.

18466056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 18466056000 in words is "eighteen billion, four hundred sixty-six million, fifty-six thousand".