213231560896368 has 560 divisors, whose sum is σ = 749779385423040. Its totient is φ = 57322131922944.

The previous prime is 213231560896337. The next prime is 213231560896423. The reversal of 213231560896368 is 863698065132312.

It is a happy number.

213231560896368 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 3 + 1 + 560 + 8 + 9 + 6 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4937151318 + ... + 4937194506.

It is an arithmetic number, because the mean of its divisors is an integer number (1338891759684).

Almost surely, 2^{213231560896368} is an apocalyptic number.

213231560896368 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 213231560896368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374889692711520).

213231560896368 is an abundant number, since it is smaller than the sum of its proper divisors (536547824526672).

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

213231560896368 is a wasteful number, since it uses less digits than its factorization.

213231560896368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46796 (or 46775 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 213231560896368 in words is "two hundred thirteen trillion, two hundred thirty-one billion, five hundred sixty million, eight hundred ninety-six thousand, three hundred sixty-eight".