345941995434256 has 45 divisors (see below), whose sum is σ = 725789359059429. Its totient is φ = 159665089965888.

The previous prime is 345941995434239. The next prime is 345941995434257. The reversal of 345941995434256 is 652434599149543.

The square root of 345941995434256 is 18599516.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 51174851395600 + 294767144038656 = 7153660^2 + 17168784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345941995434257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 966995991 + ... + 967353673.

Almost surely, 2^{345941995434256} is an apocalyptic number.

345941995434256 is the 18599516-th square number.

It is an amenable number.

345941995434256 is an abundant number, since it is smaller than the sum of its proper divisors (379847363625173).

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

345941995434256 is an frugal number, since it uses more digits than its factorization.

345941995434256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715400 (or 357698 counting only the distinct ones).

The product of its digits is 2519424000, while the sum is 73.

The spelling of 345941995434256 in words is "three hundred forty-five trillion, nine hundred forty-one billion, nine hundred ninety-five million, four hundred thirty-four thousand, two hundred fifty-six".