13238896608 has 672 divisors, whose sum is σ = 49975107840. Its totient is φ = 3359232000.

The previous prime is 13238896571. The next prime is 13238896609. The reversal of 13238896608 is 80669883231.

It is a happy number.

13238896608 is a `hidden beast` number, since 1 + 3 + 23 + 8 + 8 + 9 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13238896609) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 52744483 + ... + 52744733.

It is an arithmetic number, because the mean of its divisors is an integer number (74367720).

Almost surely, 2^13238896608 is an apocalyptic number.

13238896608 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 13238896608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24987553920).

13238896608 is an abundant number, since it is smaller than the sum of its proper divisors (36736211232).

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

13238896608 is a wasteful number, since it uses less digits than its factorization.

13238896608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 13238896608 in words is "thirteen billion, two hundred thirty-eight million, eight hundred ninety-six thousand, six hundred eight".