13696100352 has 576 divisors, whose sum is σ = 47056464000. Its totient is φ = 3925278720.

The previous prime is 13696100347. The next prime is 13696100357. The reversal of 13696100352 is 25300169631.

13696100352 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 610 + 0 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13696100347) and next prime (13696100357).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (13696100357) 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, 153888724 + ... + 153888812.

It is an arithmetic number, because the mean of its divisors is an integer number (81695250).

Almost surely, 2^13696100352 is an apocalyptic number.

13696100352 is a gapful number since it is divisible by the number (12) 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 13696100352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528232000).

13696100352 is an abundant number, since it is smaller than the sum of its proper divisors (33360363648).

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

13696100352 is a wasteful number, since it uses less digits than its factorization.

13696100352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 13696100352 its reverse (25300169631), we get a palindrome (38996269983).

The spelling of 13696100352 in words is "thirteen billion, six hundred ninety-six million, one hundred thousand, three hundred fifty-two".