213296448312 has 128 divisors (see below), whose sum is σ = 599869670400. Its totient is φ = 70217041536.

The previous prime is 213296448271. The next prime is 213296448373. The reversal of 213296448312 is 213844692312.

213296448312 is a `hidden beast` number, since 2 + 1 + 3 + 296 + 4 + 48 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8285653 + ... + 8311355.

It is an arithmetic number, because the mean of its divisors is an integer number (4686481800).

Almost surely, 2^213296448312 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 213296448312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299934835200).

213296448312 is an abundant number, since it is smaller than the sum of its proper divisors (386573222088).

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

213296448312 is a wasteful number, since it uses less digits than its factorization.

213296448312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26194 (or 26184 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 213296448312 in words is "two hundred thirteen billion, two hundred ninety-six million, four hundred forty-eight thousand, three hundred twelve".