18480069302112 has 432 divisors, whose sum is σ = 58077762344784. Its totient is φ = 5569724160000.

The previous prime is 18480069302111. The next prime is 18480069302173. The reversal of 18480069302112 is 21120396008481.

It is a super-2 number, since 2×18480069302112² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18480069302111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9560303898 + ... + 9560305830.

It is an arithmetic number, because the mean of its divisors is an integer number (134439264687).

Almost surely, 2^{18480069302112} is an apocalyptic number.

18480069302112 is a gapful number since it is divisible by the number (12) 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 18480069302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29038881172392).

18480069302112 is an abundant number, since it is smaller than the sum of its proper divisors (39597693042672).

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

18480069302112 is a wasteful number, since it uses less digits than its factorization.

18480069302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 18480069302112 in words is "eighteen trillion, four hundred eighty billion, sixty-nine million, three hundred two thousand, one hundred twelve".