46656266086120 has 96 divisors (see below), whose sum is σ = 112328914990680. Its totient is φ = 17436501770240.

The previous prime is 46656266086117. The next prime is 46656266086127. The reversal of 46656266086120 is 2168066265664.

It can be written as a sum of positive squares in 12 ways, for example, as 33059303077284 + 13596963008836 = 5749722^2 + 3687406^2 .

It is not an unprimeable number, because it can be changed into a prime (46656266086127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13146241 + ... + 16313680.

Almost surely, 2^{46656266086120} is an apocalyptic number.

46656266086120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46656266086120 is an abundant number, since it is smaller than the sum of its proper divisors (65672648904560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46656266086120 is a wasteful number, since it uses less digits than its factorization.

46656266086120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29460103 (or 29460082 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 58.

The spelling of 46656266086120 in words is "forty-six trillion, six hundred fifty-six billion, two hundred sixty-six million, eighty-six thousand, one hundred twenty".