13330844352 has 672 divisors, whose sum is σ = 48472344000. Its totient is φ = 3576545280.

The previous prime is 13330844311. The next prime is 13330844357. The reversal of 13330844352 is 25344803331.

13330844352 is a `hidden beast` number, since 133 + 30 + 8 + 443 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×13330844352² (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 (13330844357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149784724 + ... + 149784812.

Almost surely, 2^13330844352 is an apocalyptic number.

13330844352 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 13330844352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24236172000).

13330844352 is an abundant number, since it is smaller than the sum of its proper divisors (35141499648).

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

13330844352 is a wasteful number, since it uses less digits than its factorization.

13330844352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 13330844352 in words is "thirteen billion, three hundred thirty million, eight hundred forty-four thousand, three hundred fifty-two".