345755787557543 has 24 divisors (see below), whose sum is σ = 402573140791920. Its totient is φ = 295707454099200.

The previous prime is 345755787557491. The next prime is 345755787557623.

345755787557543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345755787557543 - 2¹² = 345755787553447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345755787527543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31085333 + ... + 40716206.

It is an arithmetic number, because the mean of its divisors is an integer number (16773880866330).

Almost surely, 2^{345755787557543} is an apocalyptic number.

345755787557543 is a deficient number, since it is larger than the sum of its proper divisors (56817353234377).

345755787557543 is a wasteful number, since it uses less digits than its factorization.

345755787557543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71803919 (or 71803908 counting only the distinct ones).

The product of its digits is 43218000000, while the sum is 80.

The spelling of 345755787557543 in words is "three hundred forty-five trillion, seven hundred fifty-five billion, seven hundred eighty-seven million, five hundred fifty-seven thousand, five hundred forty-three".