34505346166500 has 96 divisors (see below), whose sum is σ = 109614074274432. Its totient is φ = 8364932400000.

The previous prime is 34505346166493. The next prime is 34505346166519. The reversal of 34505346166500 is 566164350543.

It is a self number, because there is not a number n which added to its sum of digits gives 34505346166500.

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, 1045600051 + ... + 1045633050.

It is an arithmetic number, because the mean of its divisors is an integer number (1141813273692).

Almost surely, 2^{34505346166500} is an apocalyptic number.

34505346166500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34505346166500 is an abundant number, since it is smaller than the sum of its proper divisors (75108728107932).

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

34505346166500 is a wasteful number, since it uses less digits than its factorization.

34505346166500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091233134 (or 2091233122 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 34505346166500 in words is "thirty-four trillion, five hundred five billion, three hundred forty-six million, one hundred sixty-six thousand, five hundred".