345537735543 has 64 divisors (see below), whose sum is σ = 687316761600. Its totient is φ = 165692407680.

The previous prime is 345537735539. The next prime is 345537735547.

345537735543 is a `hidden beast` number, since 3 + 4 + 55 + 37 + 7 + 3 + 554 + 3 = 666.

345537735543 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (345537735539) and next prime (345537735547).

It is not a de Polignac number, because 345537735543 - 2² = 345537735539 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 345537735543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345537735547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6365428 + ... + 6419481.

It is an arithmetic number, because the mean of its divisors is an integer number (10739324400).

Almost surely, 2^345537735543 is an apocalyptic number.

345537735543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345537735543 is a deficient number, since it is larger than the sum of its proper divisors (341779026057).

345537735543 is a wasteful number, since it uses less digits than its factorization.

345537735543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12784949 (or 12784943 counting only the distinct ones).

The product of its digits is 39690000, while the sum is 54.

The spelling of 345537735543 in words is "three hundred forty-five billion, five hundred thirty-seven million, seven hundred thirty-five thousand, five hundred forty-three".