221311342352340 has 96 divisors (see below), whose sum is σ = 729025598367360. Its totient is φ = 55544807490048.

The previous prime is 221311342352339. The next prime is 221311342352371. The reversal of 221311342352340 is 43253243113122.

221311342352340 is a `hidden beast` number, since 2 + 2 + 13 + 113 + 4 + 2 + 3 + 523 + 4 + 0 = 666.

It is a super-3 number, since 3×221311342352340³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 221311342352295 and 221311342352304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12053985502 + ... + 12054003861.

It is an arithmetic number, because the mean of its divisors is an integer number (7594016649660).

Almost surely, 2^{221311342352340} is an apocalyptic number.

221311342352340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221311342352340 is an abundant number, since it is smaller than the sum of its proper divisors (507714256015020).

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

221311342352340 is a wasteful number, since it uses less digits than its factorization.

221311342352340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24107989398 (or 24107989390 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 221311342352340 its reverse (43253243113122), we get a palindrome (264564585465462).

The spelling of 221311342352340 in words is "two hundred twenty-one trillion, three hundred eleven billion, three hundred forty-two million, three hundred fifty-two thousand, three hundred forty".