46656054 has 64 divisors (see below), whose sum is σ = 109486080. Its totient is φ = 14705280.

The previous prime is 46656011. The next prime is 46656067. The reversal of 46656054 is 45065664.

It is a happy number.

46656054 is a `hidden beast` number, since 46 + 6 + 5 + 605 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78382 + ... + 78974.

It is an arithmetic number, because the mean of its divisors is an integer number (1710720).

Almost surely, 2^46656054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46656054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54743040).

46656054 is an abundant number, since it is smaller than the sum of its proper divisors (62830026).

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

46656054 is a wasteful number, since it uses less digits than its factorization.

46656054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 46656054 is about 6830.5236988096. The cubic root of 46656054 is about 360.0001388888. Note that the first 3 decimals are identical.

It can be divided in two parts, 46 and 656054, that added together give a square (656100 = 810²).

The spelling of 46656054 in words is "forty-six million, six hundred fifty-six thousand, fifty-four".