345233161332543 has 48 divisors (see below), whose sum is σ = 528257006016768. Its totient is φ = 200022532089600.

The previous prime is 345233161332509. The next prime is 345233161332547.

345233161332543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345233161332543 - 2³⁴ = 345215981463359 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345233161332492 and 345233161332501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345233161332547) 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, 3201328 + ... + 26471018.

It is an arithmetic number, because the mean of its divisors is an integer number (11005354292016).

Almost surely, 2^{345233161332543} is an apocalyptic number.

345233161332543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345233161332543 is a deficient number, since it is larger than the sum of its proper divisors (183023844684225).

345233161332543 is a wasteful number, since it uses less digits than its factorization.

345233161332543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23271516 (or 23271505 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 48.

The spelling of 345233161332543 in words is "three hundred forty-five trillion, two hundred thirty-three billion, one hundred sixty-one million, three hundred thirty-two thousand, five hundred forty-three".