13218062977728 has 1792 divisors, whose sum is σ = 49016568545280. Its totient is φ = 3454231080960.

The previous prime is 13218062977649. The next prime is 13218062977733. The reversal of 13218062977728 is 82777926081231.

13218062977728 is a `hidden beast` number, since 1 + 321 + 80 + 62 + 97 + 77 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 69204518113 + ... + 69204518303.

It is an arithmetic number, because the mean of its divisors is an integer number (27352995840).

Almost surely, 2^{13218062977728} is an apocalyptic number.

13218062977728 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 13218062977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24508284272640).

13218062977728 is an abundant number, since it is smaller than the sum of its proper divisors (35798505567552).

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

13218062977728 is an equidigital number, since it uses as much as digits as its factorization.

13218062977728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 13218062977728 in words is "thirteen trillion, two hundred eighteen billion, sixty-two million, nine hundred seventy-seven thousand, seven hundred twenty-eight".