345133768241888 has 12 divisors (see below), whose sum is σ = 679482106226280. Its totient is φ = 172566884120928.

The previous prime is 345133768241869. The next prime is 345133768241893. The reversal of 345133768241888 is 888142867331543.

It is a super-3 number, since 3×345133768241888³ (a number of 45 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5392715128748 + ... + 5392715128811.

It is an arithmetic number, because the mean of its divisors is an integer number (56623508852190).

Almost surely, 2^{345133768241888} is an apocalyptic number.

It is an amenable number.

345133768241888 is a deficient number, since it is larger than the sum of its proper divisors (334348337984392).

345133768241888 is a wasteful number, since it uses less digits than its factorization.

345133768241888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10785430257569 (or 10785430257561 counting only the distinct ones).

The product of its digits is 743178240, while the sum is 71.

The spelling of 345133768241888 in words is "three hundred forty-five trillion, one hundred thirty-three billion, seven hundred sixty-eight million, two hundred forty-one thousand, eight hundred eighty-eight".