213224776603776 has 512 divisors, whose sum is σ = 728096615424000. Its totient is φ = 60170179829760.

The previous prime is 213224776603771. The next prime is 213224776603793. The reversal of 213224776603776 is 677306677422312.

213224776603776 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 2 + 477 + 6 + 60 + 37 + 76 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (213224776603771) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1961408815 + ... + 1961517521.

It is an arithmetic number, because the mean of its divisors is an integer number (1422063702000).

Almost surely, 2^{213224776603776} 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 213224776603776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364048307712000).

213224776603776 is an abundant number, since it is smaller than the sum of its proper divisors (514871838820224).

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

213224776603776 is a wasteful number, since it uses less digits than its factorization.

213224776603776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109737 (or 109719 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 63.

The spelling of 213224776603776 in words is "two hundred thirteen trillion, two hundred twenty-four billion, seven hundred seventy-six million, six hundred three thousand, seven hundred seventy-six".