13225288608 has 288 divisors, whose sum is σ = 44810962560. Its totient is φ = 3758607360.

The previous prime is 13225288597. The next prime is 13225288649. The reversal of 13225288608 is 80688252231.

13225288608 is a `hidden beast` number, since 1 + 32 + 2 + 5 + 2 + 8 + 8 + 608 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12464398 + ... + 12465458.

It is an arithmetic number, because the mean of its divisors is an integer number (155593620).

Almost surely, 2^13225288608 is an apocalyptic number.

13225288608 is a gapful number since it is divisible by the number (18) 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 13225288608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22405481280).

13225288608 is an abundant number, since it is smaller than the sum of its proper divisors (31585673952).

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

13225288608 is a wasteful number, since it uses less digits than its factorization.

13225288608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 13225288608 in words is "thirteen billion, two hundred twenty-five million, two hundred eighty-eight thousand, six hundred eight".