13634735616 has 640 divisors, whose sum is σ = 46275609600. Its totient is φ = 3941498880.

The previous prime is 13634735591. The next prime is 13634735633. The reversal of 13634735616 is 61653743631.

13634735616 is a `hidden beast` number, since 1 + 3 + 634 + 7 + 3 + 5 + 6 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 223520226 + ... + 223520286.

It is an arithmetic number, because the mean of its divisors is an integer number (72305640).

Almost surely, 2^13634735616 is an apocalyptic number.

13634735616 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 13634735616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23137804800).

13634735616 is an abundant number, since it is smaller than the sum of its proper divisors (32640873984).

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

13634735616 is a wasteful number, since it uses less digits than its factorization.

13634735616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 13634735616 in words is "thirteen billion, six hundred thirty-four million, seven hundred thirty-five thousand, six hundred sixteen".