342164383461243 has 64 divisors (see below), whose sum is σ = 580924569600000. Its totient is φ = 194983558372512.

The previous prime is 342164383461217. The next prime is 342164383461293.

342164383461243 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 64 + 3 + 83 + 461 + 2 + 43 = 666.

342164383461243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342164383461243 - 2⁸ = 342164383460987 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 342164383461243.

It is not an unprimeable number, because it can be changed into a prime (342164383461293) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123783688 + ... + 126517706.

It is an arithmetic number, because the mean of its divisors is an integer number (9076946400000).

Almost surely, 2^{342164383461243} is an apocalyptic number.

342164383461243 is a deficient number, since it is larger than the sum of its proper divisors (238760186138757).

342164383461243 is a wasteful number, since it uses less digits than its factorization.

342164383461243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735861 (or 2735855 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 54.

The spelling of 342164383461243 in words is "three hundred forty-two trillion, one hundred sixty-four billion, three hundred eighty-three million, four hundred sixty-one thousand, two hundred forty-three".