34414655506160 has 20 divisors (see below), whose sum is σ = 80014074052008. Its totient is φ = 13765862202432.

The previous prime is 34414655506151. The next prime is 34414655506201. The reversal of 34414655506160 is 6160555641443.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 34414655506099 and 34414655506108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 215091596834 + ... + 215091596993.

Almost surely, 2^{34414655506160} is an apocalyptic number.

It is an amenable number.

34414655506160 is an abundant number, since it is smaller than the sum of its proper divisors (45599418545848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34414655506160 is a wasteful number, since it uses less digits than its factorization.

34414655506160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430183193840 (or 430183193834 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 50.

The spelling of 34414655506160 in words is "thirty-four trillion, four hundred fourteen billion, six hundred fifty-five million, five hundred six thousand, one hundred sixty".