13896249000 has 256 divisors, whose sum is σ = 45123436800. Its totient is φ = 3556224000.

The previous prime is 13896248963. The next prime is 13896249019. The reversal of 13896249000 is 94269831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18356622 + ... + 18357378.

It is an arithmetic number, because the mean of its divisors is an integer number (176263425).

Almost surely, 2^13896249000 is an apocalyptic number.

13896249000 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 13896249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22561718400).

13896249000 is an abundant number, since it is smaller than the sum of its proper divisors (31227187800).

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

13896249000 is a wasteful number, since it uses less digits than its factorization.

13896249000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 13896249000 in words is "thirteen billion, eight hundred ninety-six million, two hundred forty-nine thousand".