345315525513543 has 64 divisors (see below), whose sum is σ = 554722412160000. Its totient is φ = 211039848931968.

The previous prime is 345315525513503. The next prime is 345315525513557.

345315525513543 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 1 + 5 + 52 + 551 + 35 + 4 + 3 = 666.

345315525513543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345315525513543 - 2⁹ = 345315525513031 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 345315525513543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345315525513503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309209598 + ... + 310324356.

It is an arithmetic number, because the mean of its divisors is an integer number (8667537690000).

Almost surely, 2^{345315525513543} is an apocalyptic number.

345315525513543 is a deficient number, since it is larger than the sum of its proper divisors (209406886646457).

345315525513543 is a wasteful number, since it uses less digits than its factorization.

345315525513543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120853 (or 1120847 counting only the distinct ones).

The product of its digits is 40500000, while the sum is 54.

The spelling of 345315525513543 in words is "three hundred forty-five trillion, three hundred fifteen billion, five hundred twenty-five million, five hundred thirteen thousand, five hundred forty-three".