217346511557 has 8 divisors (see below), whose sum is σ = 253465320000. Its totient is φ = 186297009612.

The previous prime is 217346511553. The next prime is 217346511601. The reversal of 217346511557 is 755115643712.

217346511557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 217346511557 - 2² = 217346511553 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 (217346511553) 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 7 ways as a sum of consecutive naturals, for example, 316831307 + ... + 316831992.

It is an arithmetic number, because the mean of its divisors is an integer number (31683165000).

Almost surely, 2^217346511557 is an apocalyptic number.

It is an amenable number.

217346511557 is a deficient number, since it is larger than the sum of its proper divisors (36118808443).

217346511557 is an frugal number, since it uses more digits than its factorization.

217346511557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633663320 (or 633663306 counting only the distinct ones).

The product of its digits is 882000, while the sum is 47.

The spelling of 217346511557 in words is "two hundred seventeen billion, three hundred forty-six million, five hundred eleven thousand, five hundred fifty-seven".