34216461243 has 24 divisors (see below), whose sum is σ = 50158967040. Its totient is φ = 22473192240.

The previous prime is 34216461199. The next prime is 34216461271.

34216461243 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 646 + 1 + 2 + 4 + 3 = 666.

34216461243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34216461243 - 2¹⁴ = 34216444859 is a prime.

It is a super-2 number, since 2×34216461243² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34216461198 and 34216461207.

It is not an unprimeable number, because it can be changed into a prime (34216461443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204378 + ... + 331968.

It is an arithmetic number, because the mean of its divisors is an integer number (2089956960).

Almost surely, 2^34216461243 is an apocalyptic number.

34216461243 is a deficient number, since it is larger than the sum of its proper divisors (15942505797).

34216461243 is a wasteful number, since it uses less digits than its factorization.

34216461243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128039 (or 128036 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 34216461243 in words is "thirty-four billion, two hundred sixteen million, four hundred sixty-one thousand, two hundred forty-three".