34145552561 has 8 divisors (see below), whose sum is σ = 34727218560. Its totient is φ = 33563984272.

The previous prime is 34145552549. The next prime is 34145552653. The reversal of 34145552561 is 16525554143.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34145552561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34145552461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1185416 + ... + 1213878.

It is an arithmetic number, because the mean of its divisors is an integer number (4340902320).

Almost surely, 2^34145552561 is an apocalyptic number.

It is an amenable number.

34145552561 is a deficient number, since it is larger than the sum of its proper divisors (581665999).

34145552561 is a wasteful number, since it uses less digits than its factorization.

34145552561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48855.

The product of its digits is 360000, while the sum is 41.

The spelling of 34145552561 in words is "thirty-four billion, one hundred forty-five million, five hundred fifty-two thousand, five hundred sixty-one".