13643438121216 has 576 divisors, whose sum is σ = 43866142064640. Its totient is φ = 4170251796480.

The previous prime is 13643438121167. The next prime is 13643438121233. The reversal of 13643438121216 is 61212183434631.

13643438121216 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 34 + 381 + 21 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×13643438121216² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 527310456 + ... + 527336328.

It is an arithmetic number, because the mean of its divisors is an integer number (76156496640).

Almost surely, 2^{13643438121216} is an apocalyptic number.

13643438121216 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 13643438121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21933071032320).

13643438121216 is an abundant number, since it is smaller than the sum of its proper divisors (30222703943424).

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

13643438121216 is a wasteful number, since it uses less digits than its factorization.

13643438121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26059 (or 26039 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 13643438121216 in words is "thirteen trillion, six hundred forty-three billion, four hundred thirty-eight million, one hundred twenty-one thousand, two hundred sixteen".