345567765543 has 128 divisors (see below), whose sum is σ = 636211666944. Its totient is φ = 161011929600.

The previous prime is 345567765533. The next prime is 345567765577.

It is a happy number.

345567765543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345567765543 - 2⁶ = 345567765479 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345567765533) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107887180 + ... + 107890382.

It is an arithmetic number, because the mean of its divisors is an integer number (4970403648).

Almost surely, 2^345567765543 is an apocalyptic number.

345567765543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345567765543 is a deficient number, since it is larger than the sum of its proper divisors (290643901401).

345567765543 is a wasteful number, since it uses less digits than its factorization.

345567765543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245.

The product of its digits is 158760000, while the sum is 60.

The spelling of 345567765543 in words is "three hundred forty-five billion, five hundred sixty-seven million, seven hundred sixty-five thousand, five hundred forty-three".