338632920216 has 96 divisors (see below), whose sum is σ = 952791053760. Its totient is φ = 112676782752.

The previous prime is 338632920211. The next prime is 338632920319. The reversal of 338632920216 is 612029236833.

338632920216 is a `hidden beast` number, since 3 + 3 + 8 + 632 + 9 + 2 + 0 + 2 + 1 + 6 = 666.

It is a super-2 number, since 2×338632920216² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338632920211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 939771 + ... + 1249173.

It is an arithmetic number, because the mean of its divisors is an integer number (9924906810).

Almost surely, 2^338632920216 is an apocalyptic number.

338632920216 is a gapful number since it is divisible by the number (36) 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 338632920216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476395526880).

338632920216 is an abundant number, since it is smaller than the sum of its proper divisors (614158133544).

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

338632920216 is a wasteful number, since it uses less digits than its factorization.

338632920216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309987 (or 309971 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 338632920216 in words is "three hundred thirty-eight billion, six hundred thirty-two million, nine hundred twenty thousand, two hundred sixteen".