13816602240 has 256 divisors, whose sum is σ = 52068960000. Its totient is φ = 3049095168.

The previous prime is 13816602223. The next prime is 13816602301. The reversal of 13816602240 is 4220661831.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372036 + ... + 407484.

It is an arithmetic number, because the mean of its divisors is an integer number (203394375).

Almost surely, 2^13816602240 is an apocalyptic number.

13816602240 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 13816602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26034480000).

13816602240 is an abundant number, since it is smaller than the sum of its proper divisors (38252357760).

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

13816602240 is a wasteful number, since it uses less digits than its factorization.

13816602240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35507 (or 35495 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 13816602240 in words is "thirteen billion, eight hundred sixteen million, six hundred two thousand, two hundred forty".