13239438336000 has 2240 divisors, whose sum is σ = 53833458032640. Its totient is φ = 3224862720000.

The previous prime is 13239438335987. The next prime is 13239438336037. The reversal of 13239438336000 is 63383493231.

13239438336000 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 9 + 4 + 3 + 8 + 33 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 48854015865 + ... + 48854016135.

Almost surely, 2^{13239438336000} is an apocalyptic number.

13239438336000 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 13239438336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26916729016320).

13239438336000 is an abundant number, since it is smaller than the sum of its proper divisors (40594019696640).

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

13239438336000 is an equidigital number, since it uses as much as digits as its factorization.

13239438336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 13239438336000 in words is "thirteen trillion, two hundred thirty-nine billion, four hundred thirty-eight million, three hundred thirty-six thousand".