406564346265345 has 24 divisors (see below), whose sum is σ = 704712200864256. Its totient is φ = 216834112673568.

The previous prime is 406564346265323. The next prime is 406564346265361. The reversal of 406564346265345 is 543562643465604.

406564346265345 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 6 + 4 + 34 + 62 + 6 + 534 + 5 = 666.

It is not a de Polignac number, because 406564346265345 - 2¹⁴ = 406564346248961 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51868422 + ... + 59190048.

It is an arithmetic number, because the mean of its divisors is an integer number (29363008369344).

Almost surely, 2^{406564346265345} is an apocalyptic number.

406564346265345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

406564346265345 is a deficient number, since it is larger than the sum of its proper divisors (298147854598911).

406564346265345 is a wasteful number, since it uses less digits than its factorization.

406564346265345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555621 (or 8555618 counting only the distinct ones).

The product of its (nonzero) digits is 746496000, while the sum is 63.

The spelling of 406564346265345 in words is "four hundred six trillion, five hundred sixty-four billion, three hundred forty-six million, two hundred sixty-five thousand, three hundred forty-five".