345400701185 has 16 divisors (see below), whose sum is σ = 441398861136. Its totient is φ = 258563125248.

The previous prime is 345400701127. The next prime is 345400701229. The reversal of 345400701185 is 581107004543.

It can be written as a sum of positive squares in 8 ways, for example, as 124394468416 + 221006232769 = 352696^2 + 470113^2 .

It is a cyclic number.

It is not a de Polignac number, because 345400701185 - 2³² = 341105733889 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11729624 + ... + 11759033.

It is an arithmetic number, because the mean of its divisors is an integer number (27587428821).

Almost surely, 2^345400701185 is an apocalyptic number.

It is an amenable number.

345400701185 is a deficient number, since it is larger than the sum of its proper divisors (95998159951).

345400701185 is a wasteful number, since it uses less digits than its factorization.

345400701185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23488852.

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 345400701185 in words is "three hundred forty-five billion, four hundred million, seven hundred one thousand, one hundred eighty-five".