13616102240 has 192 divisors, whose sum is σ = 36800568000. Its totient is φ = 4719181824.

The previous prime is 13616102237. The next prime is 13616102249. The reversal of 13616102240 is 4220161631.

13616102240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13616102249) by changing a digit.

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, 4464236 + ... + 4467284.

It is an arithmetic number, because the mean of its divisors is an integer number (191669625).

Almost surely, 2^13616102240 is an apocalyptic number.

13616102240 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 13616102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400284000).

13616102240 is an abundant number, since it is smaller than the sum of its proper divisors (23184465760).

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

13616102240 is a wasteful number, since it uses less digits than its factorization.

13616102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 13616102240 its reverse (4220161631), we get a palindrome (17836263871).

The spelling of 13616102240 in words is "thirteen billion, six hundred sixteen million, one hundred two thousand, two hundred forty".