34346668111101 has 48 divisors (see below), whose sum is σ = 50477186760000. Its totient is φ = 22501655801856.

The previous prime is 34346668111097. The next prime is 34346668111117. The reversal of 34346668111101 is 10111186664343.

It is not a de Polignac number, because 34346668111101 - 2² = 34346668111097 is a prime.

It is a super-2 number, since 2×34346668111101² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34346668161101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105438525 + ... + 105763773.

It is an arithmetic number, because the mean of its divisors is an integer number (1051608057500).

Almost surely, 2^{34346668111101} is an apocalyptic number.

It is an amenable number.

34346668111101 is a deficient number, since it is larger than the sum of its proper divisors (16130518648899).

34346668111101 is a wasteful number, since it uses less digits than its factorization.

34346668111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326090 (or 326087 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 34346668111101 in words is "thirty-four trillion, three hundred forty-six billion, six hundred sixty-eight million, one hundred eleven thousand, one hundred one".