34365146101 has 48 divisors (see below), whose sum is σ = 42424425792. Its totient is φ = 27440582400.

The previous prime is 34365146089. The next prime is 34365146149. The reversal of 34365146101 is 10164156343.

It is not a de Polignac number, because 34365146101 - 2¹¹ = 34365144053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34365146191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15960441 + ... + 15962593.

It is an arithmetic number, because the mean of its divisors is an integer number (883842204).

Almost surely, 2^34365146101 is an apocalyptic number.

It is an amenable number.

34365146101 is a deficient number, since it is larger than the sum of its proper divisors (8059279691).

34365146101 is a wasteful number, since it uses less digits than its factorization.

34365146101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 34365146101 in words is "thirty-four billion, three hundred sixty-five million, one hundred forty-six thousand, one hundred one".