13238338464 has 768 divisors, whose sum is σ = 48009024000. Its totient is φ = 3503554560.

The previous prime is 13238338457. The next prime is 13238338469. The reversal of 13238338464 is 46483383231.

13238338464 is a `hidden beast` number, since 132 + 3 + 83 + 384 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13238338469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148745332 + ... + 148745420.

It is an arithmetic number, because the mean of its divisors is an integer number (62511750).

Almost surely, 2^13238338464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13238338464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24004512000).

13238338464 is an abundant number, since it is smaller than the sum of its proper divisors (34770685536).

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

13238338464 is a wasteful number, since it uses less digits than its factorization.

13238338464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 13238338464 in words is "thirteen billion, two hundred thirty-eight million, three hundred thirty-eight thousand, four hundred sixty-four".