213596536946688 has 1440 divisors, whose sum is σ = 755706631680000. Its totient is φ = 58032806952960.

The previous prime is 213596536946677. The next prime is 213596536946693. The reversal of 213596536946688 is 886649635695312.

213596536946688 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 96 + 5 + 3 + 69 + 466 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92506078078 + ... + 92506080386.

It is an arithmetic number, because the mean of its divisors is an integer number (524796272000).

Almost surely, 2^{213596536946688} is an apocalyptic number.

213596536946688 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 213596536946688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377853315840000).

213596536946688 is an abundant number, since it is smaller than the sum of its proper divisors (542110094733312).

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

213596536946688 is an equidigital number, since it uses as much as digits as its factorization.

213596536946688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2411 counting only the distinct ones).

The product of its digits is 12093235200, while the sum is 81.

The spelling of 213596536946688 in words is "two hundred thirteen trillion, five hundred ninety-six billion, five hundred thirty-six million, nine hundred forty-six thousand, six hundred eighty-eight".