13235063616 has 336 divisors, whose sum is σ = 41272358400. Its totient is φ = 4044902400.

The previous prime is 13235063609. The next prime is 13235063617. The reversal of 13235063616 is 61636053231.

13235063616 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 5 + 0 + 636 + 16 = 666.

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 (13235063617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31587055 + ... + 31587473.

It is an arithmetic number, because the mean of its divisors is an integer number (122834400).

Almost surely, 2^13235063616 is an apocalyptic number.

13235063616 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 13235063616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20636179200).

13235063616 is an abundant number, since it is smaller than the sum of its proper divisors (28037294784).

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

13235063616 is a wasteful number, since it uses less digits than its factorization.

13235063616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 13235063616 its product of nonzero digits (58320), we get a square (13235121936 = 115044²).

The spelling of 13235063616 in words is "thirteen billion, two hundred thirty-five million, sixty-three thousand, six hundred sixteen".