46656729 has 56 divisors (see below), whose sum is σ = 82263552. Its totient is φ = 25894080.

The previous prime is 46656713. The next prime is 46656749. The reversal of 46656729 is 92765664.

46656729 is a `hidden beast` number, since 4 + 66 + 567 + 29 = 666.

It is not a de Polignac number, because 46656729 - 2⁴ = 46656713 is a prime.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46656749) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 209112 + ... + 209334.

It is an arithmetic number, because the mean of its divisors is an integer number (1468992).

Almost surely, 2^46656729 is an apocalyptic number.

It is an amenable number.

46656729 is a deficient number, since it is larger than the sum of its proper divisors (35606823).

46656729 is an equidigital number, since it uses as much as digits as its factorization.

46656729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 46656729 is about 6830.5731091908. The cubic root of 46656729 is about 360.0018749902.

It can be divided in two parts, 46656 and 729, that multiplied together give a 6-th power (34012224 = 18⁶).

The spelling of 46656729 in words is "forty-six million, six hundred fifty-six thousand, seven hundred twenty-nine".