938499426432000 has 880 divisors, whose sum is σ = 3505380459094800. Its totient is φ = 249709127270400.

The previous prime is 938499426431993. The next prime is 938499426432047. The reversal of 938499426432000 is 234624994839.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

938499426432000 is a `hidden beast` number, since 9 + 3 + 8 + 49 + 9 + 4 + 264 + 320 + 0 + 0 = 666.

938499426432000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 511212823520256 + 427286602911744 = 22610016^2 + 20670912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2090199167776 + ... + 2090199168224.

It is an arithmetic number, because the mean of its divisors is an integer number (3983386885335).

Almost surely, 2^{938499426432000} is an apocalyptic number.

938499426432000 is a gapful number since it is divisible by the number (90) 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 938499426432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752690229547400).

938499426432000 is an abundant number, since it is smaller than the sum of its proper divisors (2566881032662800).

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

938499426432000 is an frugal number, since it uses more digits than its factorization.

938499426432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 938499426432000 in words is "nine hundred thirty-eight trillion, four hundred ninety-nine billion, four hundred twenty-six million, four hundred thirty-two thousand".