213939682128 has 240 divisors, whose sum is σ = 655582165056. Its totient is φ = 64866447360.

The previous prime is 213939682097. The next prime is 213939682129. The reversal of 213939682128 is 821286939312.

213939682128 is a `hidden beast` number, since 2 + 1 + 39 + 396 + 8 + 212 + 8 = 666.

213939682128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213939682129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8680543 + ... + 8705153.

Almost surely, 2^213939682128 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 213939682128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327791082528).

213939682128 is an abundant number, since it is smaller than the sum of its proper divisors (441642482928).

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

213939682128 is a wasteful number, since it uses less digits than its factorization.

213939682128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24762 (or 24753 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 213939682128 in words is "two hundred thirteen billion, nine hundred thirty-nine million, six hundred eighty-two thousand, one hundred twenty-eight".