13348140000 has 480 divisors, whose sum is σ = 47888295840. Its totient is φ = 3234816000.

The previous prime is 13348139957. The next prime is 13348140007. The reversal of 13348140000 is 4184331.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13348140007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85019922 + ... + 85020078.

It is an arithmetic number, because the mean of its divisors is an integer number (99767283).

Almost surely, 2^13348140000 is an apocalyptic number.

13348140000 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 13348140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23944147920).

13348140000 is an abundant number, since it is smaller than the sum of its proper divisors (34540155840).

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

13348140000 is a wasteful number, since it uses less digits than its factorization.

13348140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 13348140000 in words is "thirteen billion, three hundred forty-eight million, one hundred forty thousand".