18846481248000 has 4608 divisors, whose sum is σ = 89158659932160. Its totient is φ = 3869835264000.

The previous prime is 18846481247999. The next prime is 18846481248013. The reversal of 18846481248000 is 84218464881.

18846481248000 is a `hidden beast` number, since 1 + 8 + 8 + 464 + 81 + 24 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 258170975964 + ... + 258170976036.

It is an arithmetic number, because the mean of its divisors is an integer number (19348667520).

Almost surely, 2^{18846481248000} is an apocalyptic number.

18846481248000 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 18846481248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44579329966080).

18846481248000 is an abundant number, since it is smaller than the sum of its proper divisors (70312178684160).

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

18846481248000 is an frugal number, since it uses more digits than its factorization.

18846481248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 18846481248000 in words is "eighteen trillion, eight hundred forty-six billion, four hundred eighty-one million, two hundred forty-eight thousand".