34541307161561 has 16 divisors (see below), whose sum is σ = 36768569760000. Its totient is φ = 32354989831296.

The previous prime is 34541307161531. The next prime is 34541307161587. The reversal of 34541307161561 is 16516170314543.

It is a cyclic number.

It is not a de Polignac number, because 34541307161561 - 2⁴² = 30143260650457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34541307161531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92749835 + ... + 93121503.

It is an arithmetic number, because the mean of its divisors is an integer number (2298035610000).

Almost surely, 2^{34541307161561} is an apocalyptic number.

It is an amenable number.

34541307161561 is a deficient number, since it is larger than the sum of its proper divisors (2227262598439).

34541307161561 is a wasteful number, since it uses less digits than its factorization.

34541307161561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426736.

The product of its (nonzero) digits is 907200, while the sum is 47.

The spelling of 34541307161561 in words is "thirty-four trillion, five hundred forty-one billion, three hundred seven million, one hundred sixty-one thousand, five hundred sixty-one".