34460222500089 has 9 divisors (see below), whose sum is σ = 49775902382479. Its totient is φ = 22973469926160.

The previous prime is 34460222500031. The next prime is 34460222500097. The reversal of 34460222500089 is 98000522206443.

The square root of 34460222500089 is 5870283.

It is a perfect power (a square), and thus also a powerful number.

34460222500089 is a `hidden beast` number, since 3 + 4 + 4 + 60 + 2 + 2 + 2 + 500 + 0 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3928851229689 + 30531371270400 = 1982133^2 + 5525520^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 34460222500089 - 2⁴³ = 25664129477881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34460222500019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16632469 + ... + 18589229.

Almost surely, 2^{34460222500089} is an apocalyptic number.

34460222500089 is the 5870283-rd square number.

34460222500089 is the 2935142-nd centered octagonal number.

It is an amenable number.

34460222500089 is a deficient number, since it is larger than the sum of its proper divisors (15315679882390).

34460222500089 is an frugal number, since it uses more digits than its factorization.

34460222500089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913528 (or 1956764 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 34460222500089 in words is "thirty-four trillion, four hundred sixty billion, two hundred twenty-two million, five hundred thousand, eighty-nine".