345383186399181 has 48 divisors (see below), whose sum is σ = 589481237782528. Its totient is φ = 190692623066400.

The previous prime is 345383186399131. The next prime is 345383186399189. The reversal of 345383186399181 is 181993681383543.

345383186399181 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 83 + 1 + 86 + 399 + 1 + 81 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-345383186399181 is a prime.

It is a super-2 number, since 2×345383186399181² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345383186399189) 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 47 ways as a sum of consecutive naturals, for example, 138900391 + ... + 141365076.

Almost surely, 2^{345383186399181} is an apocalyptic number.

345383186399181 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

345383186399181 is a deficient number, since it is larger than the sum of its proper divisors (244098051383347).

345383186399181 is a wasteful number, since it uses less digits than its factorization.

345383186399181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280266142 (or 280266139 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 72.

The spelling of 345383186399181 in words is "three hundred forty-five trillion, three hundred eighty-three billion, one hundred eighty-six million, three hundred ninety-nine thousand, one hundred eighty-one".