345253749345 has 48 divisors (see below), whose sum is σ = 607494276480. Its totient is φ = 181350461952.

The previous prime is 345253749311. The next prime is 345253749349. The reversal of 345253749345 is 543947352543.

345253749345 is a `hidden beast` number, since 3 + 4 + 5 + 253 + 7 + 49 + 345 = 666.

It is not a de Polignac number, because 345253749345 - 2¹¹ = 345253747297 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 345253749291 and 345253749300.

It is not an unprimeable number, because it can be changed into a prime (345253749349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21721161 + ... + 21737049.

It is an arithmetic number, because the mean of its divisors is an integer number (12656130760).

Almost surely, 2^345253749345 is an apocalyptic number.

It is an amenable number.

345253749345 is a deficient number, since it is larger than the sum of its proper divisors (262240527135).

345253749345 is a wasteful number, since it uses less digits than its factorization.

345253749345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23174 (or 23171 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 54.

The spelling of 345253749345 in words is "three hundred forty-five billion, two hundred fifty-three million, seven hundred forty-nine thousand, three hundred forty-five".