13568218270416 has 200 divisors, whose sum is σ = 40609215677184. Its totient is φ = 4369063173120.

The previous prime is 13568218270391. The next prime is 13568218270427. The reversal of 13568218270416 is 61407281286531.

It is a happy number.

13568218270416 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 8 + 218 + 2 + 7 + 0 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 22319160 + ... + 22919016.

Almost surely, 2^{13568218270416} is an apocalyptic number.

13568218270416 is a gapful number since it is divisible by the number (16) 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 13568218270416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20304607838592).

13568218270416 is an abundant number, since it is smaller than the sum of its proper divisors (27040997406768).

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

13568218270416 is a wasteful number, since it uses less digits than its factorization.

13568218270416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600471 (or 600456 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 13568218270416 in words is "thirteen trillion, five hundred sixty-eight billion, two hundred eighteen million, two hundred seventy thousand, four hundred sixteen".