34955348381185 has 16 divisors (see below), whose sum is σ = 42331184802000. Its totient is φ = 27708685295616.

The previous prime is 34955348381167. The next prime is 34955348381227. The reversal of 34955348381185 is 58118384355943.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 893370903489 + 34061977477696 = 945183^2 + 5836264^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34955348381185 is a prime.

It is a super-3 number, since 3×34955348381185³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34955348381185.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57054624 + ... + 57664033.

It is an arithmetic number, because the mean of its divisors is an integer number (2645699050125).

Almost surely, 2^{34955348381185} is an apocalyptic number.

It is an amenable number.

34955348381185 is a deficient number, since it is larger than the sum of its proper divisors (7375836420815).

34955348381185 is a wasteful number, since it uses less digits than its factorization.

34955348381185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114719220.

The product of its digits is 248832000, while the sum is 67.

The spelling of 34955348381185 in words is "thirty-four trillion, nine hundred fifty-five billion, three hundred forty-eight million, three hundred eighty-one thousand, one hundred eighty-five".