345525303525543 has 32 divisors (see below), whose sum is σ = 511965880473600. Its totient is φ = 230315761526400.

The previous prime is 345525303525541. The next prime is 345525303525601.

It is a happy number.

345525303525543 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 2 + 5 + 30 + 3 + 52 + 554 + 3 = 666.

345525303525543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345525303525543 - 2¹ = 345525303525541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 345525303525543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345525303525541) 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, 6553819423 + ... + 6553872143.

It is an arithmetic number, because the mean of its divisors is an integer number (15998933764800).

Almost surely, 2^{345525303525543} is an apocalyptic number.

345525303525543 is a deficient number, since it is larger than the sum of its proper divisors (166440576948057).

345525303525543 is a wasteful number, since it uses less digits than its factorization.

345525303525543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84420 (or 84414 counting only the distinct ones).

The product of its (nonzero) digits is 81000000, while the sum is 54.

Subtracting from 345525303525543 its product of nonzero digits (81000000), we obtain a palindrome (345525222525543).

The spelling of 345525303525543 in words is "three hundred forty-five trillion, five hundred twenty-five billion, three hundred three million, five hundred twenty-five thousand, five hundred forty-three".