345677776543 has 32 divisors (see below), whose sum is σ = 384765790464. Its totient is φ = 307944000000.

The previous prime is 345677776487. The next prime is 345677776583.

It is a happy number.

345677776543 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 345677776543 - 2¹⁷ = 345677645471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345677776583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58358980 + ... + 58364902.

It is an arithmetic number, because the mean of its divisors is an integer number (12023930952).

Almost surely, 2^345677776543 is an apocalyptic number.

345677776543 is a deficient number, since it is larger than the sum of its proper divisors (39088013921).

345677776543 is a wasteful number, since it uses less digits than its factorization.

345677776543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6567.

The product of its digits is 311169600, while the sum is 64.

The spelling of 345677776543 in words is "three hundred forty-five billion, six hundred seventy-seven million, seven hundred seventy-six thousand, five hundred forty-three".