34460206372257 has 8 divisors (see below), whose sum is σ = 45946982337984. Its totient is φ = 22973450660688.

The previous prime is 34460206372247. The next prime is 34460206372259. The reversal of 34460206372257 is 75227360206443.

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

It is not a de Polignac number, because 34460206372257 - 2²⁶ = 34460139263393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34460206372259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508173 + ... + 8317370.

It is an arithmetic number, because the mean of its divisors is an integer number (5743372792248).

Almost surely, 2^{34460206372257} is an apocalyptic number.

It is an amenable number.

34460206372257 is a deficient number, since it is larger than the sum of its proper divisors (11486775965727).

34460206372257 is a wasteful number, since it uses less digits than its factorization.

34460206372257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10127079.

The product of its (nonzero) digits is 10160640, while the sum is 51.

The spelling of 34460206372257 in words is "thirty-four trillion, four hundred sixty billion, two hundred six million, three hundred seventy-two thousand, two hundred fifty-seven".