213768283392 has 216 divisors, whose sum is σ = 624137538024. Its totient is φ = 70358925312.

The previous prime is 213768283373. The next prime is 213768283423. The reversal of 213768283392 is 293382867312.

213768283392 is a `hidden beast` number, since 213 + 7 + 68 + 283 + 3 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47029994496 + 166738288896 = 216864^2 + 408336^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132527578 + ... + 132529190.

It is an arithmetic number, because the mean of its divisors is an integer number (2889525639).

Almost surely, 2^213768283392 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 213768283392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312068769012).

213768283392 is an abundant number, since it is smaller than the sum of its proper divisors (410369254632).

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

213768283392 is a wasteful number, since it uses less digits than its factorization.

213768283392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2308 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 213768283392 in words is "two hundred thirteen billion, seven hundred sixty-eight million, two hundred eighty-three thousand, three hundred ninety-two".