20345414146221 has 16 divisors (see below), whose sum is σ = 27189459665280. Its totient is φ = 13532490048000.

The previous prime is 20345414146219. The next prime is 20345414146237. The reversal of 20345414146221 is 12264141454302.

It is not a de Polignac number, because 20345414146221 - 2¹ = 20345414146219 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20345414146221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20345414146271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132035221 + ... + 132189221.

It is an arithmetic number, because the mean of its divisors is an integer number (1699341229080).

Almost surely, 2^{20345414146221} is an apocalyptic number.

It is an amenable number.

20345414146221 is a deficient number, since it is larger than the sum of its proper divisors (6844045519059).

20345414146221 is a wasteful number, since it uses less digits than its factorization.

20345414146221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254756.

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 20345414146221 in words is "twenty trillion, three hundred forty-five billion, four hundred fourteen million, one hundred forty-six thousand, two hundred twenty-one".