13344331392 has 384 divisors, whose sum is σ = 45908029440. Its totient is φ = 3779509248.

The previous prime is 13344331387. The next prime is 13344331457. The reversal of 13344331392 is 29313344331.

13344331392 is a `hidden beast` number, since 1 + 334 + 4 + 3 + 313 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 36360393 + ... + 36360759.

It is an arithmetic number, because the mean of its divisors is an integer number (119552160).

Almost surely, 2^13344331392 is an apocalyptic number.

13344331392 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 13344331392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22954014720).

13344331392 is an abundant number, since it is smaller than the sum of its proper divisors (32563698048).

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

13344331392 is an equidigital number, since it uses as much as digits as its factorization.

13344331392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 546 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The spelling of 13344331392 in words is "thirteen billion, three hundred forty-four million, three hundred thirty-one thousand, three hundred ninety-two".