13362348384 has 672 divisors, whose sum is σ = 50609712384. Its totient is φ = 3370429440.

The previous prime is 13362348383. The next prime is 13362348401. The reversal of 13362348384 is 48384326331.

13362348384 is a `hidden beast` number, since 1 + 3 + 36 + 234 + 8 + 384 = 666.

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

It is a super-2 number, since 2×13362348384² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13362348383) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 77238922 + ... + 77239094.

It is an arithmetic number, because the mean of its divisors is an integer number (75312072).

Almost surely, 2^13362348384 is an apocalyptic number.

13362348384 is a gapful number since it is divisible by the number (14) 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 13362348384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25304856192).

13362348384 is an abundant number, since it is smaller than the sum of its proper divisors (37247364000).

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

13362348384 is a wasteful number, since it uses less digits than its factorization.

13362348384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 13362348384 in words is "thirteen billion, three hundred sixty-two million, three hundred forty-eight thousand, three hundred eighty-four".