345355545553543 has 16 divisors (see below), whose sum is σ = 394942513492800. Its totient is φ = 295831249249536.

The previous prime is 345355545553523. The next prime is 345355545553549.

345355545553543 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-345355545553543 is a prime.

It is a super-3 number, since 3×345355545553543³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345355545553549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71403571 + ... + 76086667.

It is an arithmetic number, because the mean of its divisors is an integer number (24683907093300).

Almost surely, 2^{345355545553543} is an apocalyptic number.

345355545553543 is a deficient number, since it is larger than the sum of its proper divisors (49586967939257).

345355545553543 is a wasteful number, since it uses less digits than its factorization.

345355545553543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4689786.

The product of its digits is 2025000000, while the sum is 64.

The spelling of 345355545553543 in words is "three hundred forty-five trillion, three hundred fifty-five billion, five hundred forty-five million, five hundred fifty-three thousand, five hundred forty-three".