345985589543 has 32 divisors (see below), whose sum is σ = 388549066752. Its totient is φ = 305367602400.

The previous prime is 345985589519. The next prime is 345985589563.

It is a happy number.

345985589543 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 345985589543 - 2¹⁰ = 345985588519 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345985589513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60579458 + ... + 60585168.

It is an arithmetic number, because the mean of its divisors is an integer number (12142158336).

Almost surely, 2^345985589543 is an apocalyptic number.

345985589543 is a deficient number, since it is larger than the sum of its proper divisors (42563477209).

345985589543 is a wasteful number, since it uses less digits than its factorization.

345985589543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6515.

The product of its digits is 466560000, while the sum is 68.

The spelling of 345985589543 in words is "three hundred forty-five billion, nine hundred eighty-five million, five hundred eighty-nine thousand, five hundred forty-three".