18384946005888 has 3072 divisors, whose sum is σ = 75379579776000. Its totient is φ = 4438620426240.

The previous prime is 18384946005863. The next prime is 18384946005919. The reversal of 18384946005888 is 88850064948381.

18384946005888 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 4 + 9 + 4 + 600 + 5 + 8 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 346885773670 + ... + 346885773722.

It is an arithmetic number, because the mean of its divisors is an integer number (24537623625).

Almost surely, 2^{18384946005888} is an apocalyptic number.

18384946005888 is a gapful number since it is divisible by the number (18) 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 18384946005888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37689789888000).

18384946005888 is an abundant number, since it is smaller than the sum of its proper divisors (56994633770112).

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

18384946005888 is an frugal number, since it uses more digits than its factorization.

18384946005888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 72.

The spelling of 18384946005888 in words is "eighteen trillion, three hundred eighty-four billion, nine hundred forty-six million, five thousand, eight hundred eighty-eight".