345863288589 has 48 divisors (see below), whose sum is σ = 577803506112. Its totient is φ = 182402502912.

The previous prime is 345863288549. The next prime is 345863288621. The reversal of 345863288589 is 985882368543.

It is not a de Polignac number, because 345863288589 - 2²³ = 345854899981 is a prime.

It is a super-2 number, since 2×345863288589² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345863288549) 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 47 ways as a sum of consecutive naturals, for example, 15263302 + ... + 15285944.

It is an arithmetic number, because the mean of its divisors is an integer number (12037573044).

Almost surely, 2^345863288589 is an apocalyptic number.

345863288589 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

345863288589 is a deficient number, since it is larger than the sum of its proper divisors (231940217523).

345863288589 is a wasteful number, since it uses less digits than its factorization.

345863288589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30666 (or 30659 counting only the distinct ones).

The product of its digits is 398131200, while the sum is 69.

The spelling of 345863288589 in words is "three hundred forty-five billion, eight hundred sixty-three million, two hundred eighty-eight thousand, five hundred eighty-nine".