46656428767 has 12 divisors (see below), whose sum is σ = 51042316080. Its totient is φ = 42623463168.

The previous prime is 46656428743. The next prime is 46656428773. The reversal of 46656428767 is 76782465664.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-46656428767 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46650428767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1406667 + ... + 1439452.

It is an arithmetic number, because the mean of its divisors is an integer number (4253526340).

Almost surely, 2^46656428767 is an apocalyptic number.

46656428767 is a deficient number, since it is larger than the sum of its proper divisors (4385887313).

46656428767 is a wasteful number, since it uses less digits than its factorization.

46656428767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846242 (or 2846229 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 61.

The spelling of 46656428767 in words is "forty-six billion, six hundred fifty-six million, four hundred twenty-eight thousand, seven hundred sixty-seven".