13490909000 has 128 divisors (see below), whose sum is σ = 32123520000. Its totient is φ = 5302252800.

The previous prime is 13490908993. The next prime is 13490909041. The reversal of 13490909000 is 90909431.

13490909000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30730781 + ... + 30731219.

It is an arithmetic number, because the mean of its divisors is an integer number (250965000).

Almost surely, 2^13490909000 is an apocalyptic number.

13490909000 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 13490909000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16061760000).

13490909000 is an abundant number, since it is smaller than the sum of its proper divisors (18632611000).

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

13490909000 is a wasteful number, since it uses less digits than its factorization.

13490909000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The spelling of 13490909000 in words is "thirteen billion, four hundred ninety million, nine hundred nine thousand".