18101213788320 has 576 divisors, whose sum is σ = 67234275763200. Its totient is φ = 4408118378496.

The previous prime is 18101213788313. The next prime is 18101213788351. The reversal of 18101213788320 is 2388731210181.

18101213788320 is a `hidden beast` number, since 1 + 8 + 101 + 213 + 7 + 8 + 8 + 320 = 666.

It is a super-2 number, since 2×18101213788320² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1190940081 + ... + 1190955279.

It is an arithmetic number, because the mean of its divisors is an integer number (116726173200).

Almost surely, 2^{18101213788320} is an apocalyptic number.

18101213788320 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 18101213788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33617137881600).

18101213788320 is an abundant number, since it is smaller than the sum of its proper divisors (49133061974880).

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

18101213788320 is a wasteful number, since it uses less digits than its factorization.

18101213788320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15909 (or 15898 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 18101213788320 in words is "eighteen trillion, one hundred one billion, two hundred thirteen million, seven hundred eighty-eight thousand, three hundred twenty".