34505400611456 has 32 divisors (see below), whose sum is σ = 68748867141780. Its totient is φ = 17250782976000.

The previous prime is 34505400611419. The next prime is 34505400611501. The reversal of 34505400611456 is 65411600450543.

It can be written as a sum of positive squares in 2 ways, for example, as 34371016782400 + 134383829056 = 5862680^2 + 366584^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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, 13822511 + ... + 16126766.

Almost surely, 2^{34505400611456} is an apocalyptic number.

It is an amenable number.

34505400611456 is a deficient number, since it is larger than the sum of its proper divisors (34243466530324).

34505400611456 is an equidigital number, since it uses as much as digits as its factorization.

34505400611456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29958292 (or 29958280 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 34505400611456 in words is "thirty-four trillion, five hundred five billion, four hundred million, six hundred eleven thousand, four hundred fifty-six".