13348309600 has 72 divisors (see below), whose sum is σ = 32843397888. Its totient is φ = 5297241600.

The previous prime is 13348309553. The next prime is 13348309613. The reversal of 13348309600 is 690384331.

It is a self number, because there is not a number n which added to its sum of digits gives 13348309600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35910 + ... + 167290.

It is an arithmetic number, because the mean of its divisors is an integer number (456158304).

Almost surely, 2^13348309600 is an apocalyptic number.

13348309600 is a gapful number since it is divisible by the number (10) 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 13348309600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16421698944).

13348309600 is an abundant number, since it is smaller than the sum of its proper divisors (19495088288).

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

13348309600 is a wasteful number, since it uses less digits than its factorization.

13348309600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131528 (or 131515 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 13348309600 in words is "thirteen billion, three hundred forty-eight million, three hundred nine thousand, six hundred".