13659100416 has 288 divisors, whose sum is σ = 44132739840. Its totient is φ = 4141670400.

The previous prime is 13659100373. The next prime is 13659100417. The reversal of 13659100416 is 61400195631.

13659100416 is a `hidden beast` number, since 136 + 5 + 9 + 100 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13659100417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6378706 + ... + 6380846.

It is an arithmetic number, because the mean of its divisors is an integer number (153238680).

Almost surely, 2^13659100416 is an apocalyptic number.

13659100416 is a gapful number since it is divisible by the number (16) 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 13659100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22066369920).

13659100416 is an abundant number, since it is smaller than the sum of its proper divisors (30473639424).

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

13659100416 is a wasteful number, since it uses less digits than its factorization.

13659100416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13659100416 in words is "thirteen billion, six hundred fifty-nine million, one hundred thousand, four hundred sixteen".