34013661123 has 24 divisors (see below), whose sum is σ = 50035095792. Its totient is φ = 20536533888.

The previous prime is 34013661119. The next prime is 34013661151. The reversal of 34013661123 is 32116631043.

It is not a de Polignac number, because 34013661123 - 2² = 34013661119 is a prime.

It is a super-2 number, since 2×34013661123² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34013661023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606036 + ... + 659777.

It is an arithmetic number, because the mean of its divisors is an integer number (2084795658).

Almost surely, 2^34013661123 is an apocalyptic number.

34013661123 is a deficient number, since it is larger than the sum of its proper divisors (16021434669).

34013661123 is a wasteful number, since it uses less digits than its factorization.

34013661123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265895 (or 1265882 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 34013661123 in words is "thirty-four billion, thirteen million, six hundred sixty-one thousand, one hundred twenty-three".