212844434205345 has 192 divisors, whose sum is σ = 384711139491840. Its totient is φ = 100131505689600.

The previous prime is 212844434205331. The next prime is 212844434205373. The reversal of 212844434205345 is 543502434448212.

It is not a de Polignac number, because 212844434205345 - 2⁴ = 212844434205329 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 810645996 + ... + 810908514.

It is an arithmetic number, because the mean of its divisors is an integer number (2003703851520).

Almost surely, 2^{212844434205345} is an apocalyptic number.

It is an amenable number.

212844434205345 is a deficient number, since it is larger than the sum of its proper divisors (171866705286495).

212844434205345 is a wasteful number, since it uses less digits than its factorization.

212844434205345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262708 (or 262665 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 51.

The spelling of 212844434205345 in words is "two hundred twelve trillion, eight hundred forty-four billion, four hundred thirty-four million, two hundred five thousand, three hundred forty-five".