345544312113 has 144 divisors (see below), whose sum is σ = 688879743552. Its totient is φ = 164052000000.

The previous prime is 345544312081. The next prime is 345544312121. The reversal of 345544312113 is 311213445543.

345544312113 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 4 + 431 + 211 + 3 = 666.

It is not a de Polignac number, because 345544312113 - 2⁵ = 345544312081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345544322113) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6342238 + ... + 6396488.

It is an arithmetic number, because the mean of its divisors is an integer number (4783887108).

Almost surely, 2^345544312113 is an apocalyptic number.

345544312113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

345544312113 is a deficient number, since it is larger than the sum of its proper divisors (343335431439).

345544312113 is a wasteful number, since it uses less digits than its factorization.

345544312113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54396 (or 54386 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 345544312113 its reverse (311213445543), we get a palindrome (656757757656).

The spelling of 345544312113 in words is "three hundred forty-five billion, five hundred forty-four million, three hundred twelve thousand, one hundred thirteen".