34468616541 has 8 divisors (see below), whose sum is σ = 45992951104. Its totient is φ = 22961679840.

The previous prime is 34468616513. The next prime is 34468616573. The reversal of 34468616541 is 14561686443.

34468616541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 34468616541 - 2¹¹ = 34468614493 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 (34468616041) 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, 4344841 + ... + 4352766.

It is an arithmetic number, because the mean of its divisors is an integer number (5749118888).

Almost surely, 2^34468616541 is an apocalyptic number.

It is an amenable number.

34468616541 is a deficient number, since it is larger than the sum of its proper divisors (11524334563).

34468616541 is a wasteful number, since it uses less digits than its factorization.

34468616541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8698931.

The product of its digits is 1658880, while the sum is 48.

The spelling of 34468616541 in words is "thirty-four billion, four hundred sixty-eight million, six hundred sixteen thousand, five hundred forty-one".