345456654543 has 384 divisors, whose sum is σ = 760846141440. Its totient is φ = 151643197440.

The previous prime is 345456654467. The next prime is 345456654601.

345456654543 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 56 + 6 + 545 + 43 = 666.

345456654543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345456654543 - 2¹³ = 345456646351 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 345456654543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345456654343) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 118998430 + ... + 119001332.

It is an arithmetic number, because the mean of its divisors is an integer number (1981370160).

Almost surely, 2^345456654543 is an apocalyptic number.

345456654543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345456654543 is an abundant number, since it is smaller than the sum of its proper divisors (415389486897).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345456654543 is a wasteful number, since it uses less digits than its factorization.

345456654543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2991 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

It can be divided in two parts, 345456 and 654543, that added together give a palindrome (999999).

The spelling of 345456654543 in words is "three hundred forty-five billion, four hundred fifty-six million, six hundred fifty-four thousand, five hundred forty-three".