13331536416 has 192 divisors, whose sum is σ = 42897859200. Its totient is φ = 3994214400.

The previous prime is 13331536411. The next prime is 13331536429. The reversal of 13331536416 is 61463513331.

13331536416 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 1 + 5 + 3 + 641 + 6 = 666.

It is a super-2 number, since 2×13331536416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13331536411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837976 + ... + 853736.

It is an arithmetic number, because the mean of its divisors is an integer number (223426350).

Almost surely, 2^13331536416 is an apocalyptic number.

13331536416 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 13331536416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21448929600).

13331536416 is an abundant number, since it is smaller than the sum of its proper divisors (29566322784).

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

13331536416 is a wasteful number, since it uses less digits than its factorization.

13331536416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15880 (or 15866 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The spelling of 13331536416 in words is "thirteen billion, three hundred thirty-one million, five hundred thirty-six thousand, four hundred sixteen".