18201921454080 has 2016 divisors, whose sum is σ = 81050826065664. Its totient is φ = 3815944224768.

The previous prime is 18201921454063. The next prime is 18201921454091. The reversal of 18201921454080 is 8045412910281.

18201921454080 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 1 + 9 + 21 + 4 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 115935805362 + ... + 115935805518.

Almost surely, 2^{18201921454080} is an apocalyptic number.

18201921454080 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 18201921454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40525413032832).

18201921454080 is an abundant number, since it is smaller than the sum of its proper divisors (62848904611584).

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

18201921454080 is an frugal number, since it uses more digits than its factorization.

18201921454080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 18201921454080 in words is "eighteen trillion, two hundred one billion, nine hundred twenty-one million, four hundred fifty-four thousand, eighty".