13238478000 has 1600 divisors, whose sum is σ = 60668974080. Its totient is φ = 2737152000.

The previous prime is 13238477963. The next prime is 13238478013. The reversal of 13238478000 is 87483231.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 575585989 + ... + 575586011.

Almost surely, 2^13238478000 is an apocalyptic number.

13238478000 is a gapful number since it is divisible by the number (10) 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 13238478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30334487040).

13238478000 is an abundant number, since it is smaller than the sum of its proper divisors (47430496080).

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

13238478000 is a wasteful number, since it uses less digits than its factorization.

13238478000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13238478000 in words is "thirteen billion, two hundred thirty-eight million, four hundred seventy-eight thousand".