220145346516311 has 16 divisors (see below), whose sum is σ = 241942409817600. Its totient is φ = 199379467143648.

The previous prime is 220145346516259. The next prime is 220145346516313. The reversal of 220145346516311 is 113615643541022.

It is a cyclic number.

It is not a de Polignac number, because 220145346516311 - 2³⁴ = 220128166647127 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220145346516313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 140013371 + ... + 141576956.

It is an arithmetic number, because the mean of its divisors is an integer number (15121400613600).

Almost surely, 2^{220145346516311} is an apocalyptic number.

220145346516311 is a deficient number, since it is larger than the sum of its proper divisors (21797063301289).

220145346516311 is a wasteful number, since it uses less digits than its factorization.

220145346516311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281592158.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 220145346516311 in words is "two hundred twenty trillion, one hundred forty-five billion, three hundred forty-six million, five hundred sixteen thousand, three hundred eleven".