34114517164660 has 96 divisors (see below), whose sum is σ = 74575094025600. Its totient is φ = 13098093465600.

The previous prime is 34114517164631. The next prime is 34114517164681. The reversal of 34114517164660 is 6646171541143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44173516 + ... + 44939164.

It is an arithmetic number, because the mean of its divisors is an integer number (776823896100).

Almost surely, 2^{34114517164660} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34114517164660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37287547012800).

34114517164660 is an abundant number, since it is smaller than the sum of its proper divisors (40460576860940).

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

34114517164660 is a wasteful number, since it uses less digits than its factorization.

34114517164660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766577 (or 766575 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 34114517164660 in words is "thirty-four trillion, one hundred fourteen billion, five hundred seventeen million, one hundred sixty-four thousand, six hundred sixty".