846945729 has 48 divisors (see below), whose sum is σ = 1558327680. Its totient is φ = 431516160.

The previous prime is 846945713. The next prime is 846945751. The reversal of 846945729 is 927549648.

846945729 is a `hidden beast` number, since 8 + 4 + 69 + 4 + 572 + 9 = 666.

It is not a de Polignac number, because 846945729 - 2⁴ = 846945713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (846945709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462 + ... + 41159.

It is an arithmetic number, because the mean of its divisors is an integer number (32465160).

Almost surely, 2^846945729 is an apocalyptic number.

It is an amenable number.

846945729 is a deficient number, since it is larger than the sum of its proper divisors (711381951).

846945729 is a wasteful number, since it uses less digits than its factorization.

846945729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41670 (or 41667 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 846945729 is about 29102.3320199602. The cubic root of 846945729 is about 946.1322818145.

The spelling of 846945729 in words is "eight hundred forty-six million, nine hundred forty-five thousand, seven hundred twenty-nine".