34513656005166 has 64 divisors (see below), whose sum is σ = 74697493721088. Its totient is φ = 10568214229248.

The previous prime is 34513656005137. The next prime is 34513656005167. The reversal of 34513656005166 is 66150065631543.

It is a super-3 number, since 3×34513656005166³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34513656005167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13654815 + ... + 15983781.

It is an arithmetic number, because the mean of its divisors is an integer number (1167148339392).

Almost surely, 2^{34513656005166} is an apocalyptic number.

34513656005166 is an abundant number, since it is smaller than the sum of its proper divisors (40183837715922).

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

34513656005166 is a wasteful number, since it uses less digits than its factorization.

34513656005166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329905.

The product of its (nonzero) digits is 5832000, while the sum is 51.

The spelling of 34513656005166 in words is "thirty-four trillion, five hundred thirteen billion, six hundred fifty-six million, five thousand, one hundred sixty-six".