13605216192 has 196 divisors, whose sum is σ = 40749357160. Its totient is φ = 4504730112.

The previous prime is 13605216187. The next prime is 13605216193. The reversal of 13605216192 is 29161250631.

13605216192 is a `hidden beast` number, since 1 + 36 + 0 + 5 + 2 + 1 + 619 + 2 = 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 (13605216193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7604034 + ... + 7605822.

Almost surely, 2^13605216192 is an apocalyptic number.

13605216192 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 13605216192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20374678580).

13605216192 is an abundant number, since it is smaller than the sum of its proper divisors (27144140968).

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

13605216192 is an equidigital number, since it uses as much as digits as its factorization.

13605216192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1957 counting only the distinct ones).

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

The spelling of 13605216192 in words is "thirteen billion, six hundred five million, two hundred sixteen thousand, one hundred ninety-two".