18246412800 has 1440 divisors, whose sum is σ = 86912901504. Its totient is φ = 3568435200.

The previous prime is 18246412799. The next prime is 18246412801. The reversal of 18246412800 is 821464281.

18246412800 is a `hidden beast` number, since 1 + 8 + 2 + 4 + 641 + 2 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18246412799) and next prime (18246412801).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18246412801) 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 143 ways as a sum of consecutive naturals, for example, 1073318392 + ... + 1073318408.

Almost surely, 2^18246412800 is an apocalyptic number.

18246412800 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 18246412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43456450752).

18246412800 is an abundant number, since it is smaller than the sum of its proper divisors (68666488704).

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

18246412800 is a wasteful number, since it uses less digits than its factorization.

18246412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 18246412800 in words is "eighteen billion, two hundred forty-six million, four hundred twelve thousand, eight hundred".