345545583523839 has 40 divisors (see below), whose sum is σ = 516766832350560. Its totient is φ = 230104255140864.

The previous prime is 345545583523759. The next prime is 345545583523841. The reversal of 345545583523839 is 938325385545543.

345545583523839 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 4 + 5 + 583 + 5 + 2 + 3 + 8 + 39 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-345545583523839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345545583523849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1666887454 + ... + 1667094740.

It is an arithmetic number, because the mean of its divisors is an integer number (12919170808764).

Almost surely, 2^{345545583523839} is an apocalyptic number.

345545583523839 is a deficient number, since it is larger than the sum of its proper divisors (171221248826721).

345545583523839 is a wasteful number, since it uses less digits than its factorization.

345545583523839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230381 (or 230372 counting only the distinct ones).

The product of its digits is 4665600000, while the sum is 72.

The spelling of 345545583523839 in words is "three hundred forty-five trillion, five hundred forty-five billion, five hundred eighty-three million, five hundred twenty-three thousand, eight hundred thirty-nine".