345013641441 has 96 divisors (see below), whose sum is σ = 582381895680. Its totient is φ = 192770088192.

The previous prime is 345013641437. The next prime is 345013641487. The reversal of 345013641441 is 144146310543.

345013641441 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 1 + 3 + 641 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 345013641441 - 2² = 345013641437 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 345013641396 and 345013641405.

It is not an unprimeable number, because it can be changed into a prime (345013641431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207463776 + ... + 207465438.

It is an arithmetic number, because the mean of its divisors is an integer number (6066478080).

Almost surely, 2^345013641441 is an apocalyptic number.

It is an amenable number.

345013641441 is a deficient number, since it is larger than the sum of its proper divisors (237368254239).

345013641441 is a wasteful number, since it uses less digits than its factorization.

345013641441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 345013641441 its reverse (144146310543), we get a palindrome (489159951984).

The spelling of 345013641441 in words is "three hundred forty-five billion, thirteen million, six hundred forty-one thousand, four hundred forty-one".