345161516085 has 80 divisors (see below), whose sum is σ = 626959660800. Its totient is φ = 181641792384.

The previous prime is 345161516041. The next prime is 345161516107. The reversal of 345161516085 is 580615161543.

It is a happy number.

345161516085 is a `hidden beast` number, since 3 + 4 + 51 + 6 + 1 + 516 + 0 + 85 = 666.

It is not a de Polignac number, because 345161516085 - 2¹⁹ = 345160991797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 345161516085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81809106 + ... + 81813324.

It is an arithmetic number, because the mean of its divisors is an integer number (7836995760).

Almost surely, 2^345161516085 is an apocalyptic number.

It is an amenable number.

345161516085 is a deficient number, since it is larger than the sum of its proper divisors (281798144715).

345161516085 is a wasteful number, since it uses less digits than its factorization.

345161516085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6863 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 345161516085 in words is "three hundred forty-five billion, one hundred sixty-one million, five hundred sixteen thousand, eighty-five".