213361761756 has 384 divisors, whose sum is σ = 648460173312. Its totient is φ = 53577216000.

The previous prime is 213361761749. The next prime is 213361761761. The reversal of 213361761756 is 657167163312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64205911 + ... + 64209233.

It is an arithmetic number, because the mean of its divisors is an integer number (1688698368).

Almost surely, 2^213361761756 is an apocalyptic number.

213361761756 is a gapful number since it is divisible by the number (26) 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 213361761756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324230086656).

213361761756 is an abundant number, since it is smaller than the sum of its proper divisors (435098411556).

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

213361761756 is a wasteful number, since it uses less digits than its factorization.

213361761756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3471 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The spelling of 213361761756 in words is "two hundred thirteen billion, three hundred sixty-one million, seven hundred sixty-one thousand, seven hundred fifty-six".