213128794368 has 324 divisors, whose sum is σ = 756885483900. Its totient is φ = 57311428608.

The previous prime is 213128794363. The next prime is 213128794387. The reversal of 213128794368 is 863497821312.

It is a happy number.

213128794368 is a `hidden beast` number, since 2 + 13 + 128 + 79 + 436 + 8 = 666.

213128794368 is digitally balanced in base 3, 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 2 ways, for example, as 159066964224 + 54061830144 = 398832^2 + 232512^2 .

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

It is not an unprimeable number, because it can be changed into a prime (213128794363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1863708 + ... + 1974756.

Almost surely, 2^213128794368 is an apocalyptic number.

213128794368 is a gapful number since it is divisible by the number (28) 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 213128794368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378442741950).

213128794368 is an abundant number, since it is smaller than the sum of its proper divisors (543756689532).

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

213128794368 is a wasteful number, since it uses less digits than its factorization.

213128794368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111102 (or 111078 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 213128794368 in words is "two hundred thirteen billion, one hundred twenty-eight million, seven hundred ninety-four thousand, three hundred sixty-eight".