46054656 has 90 divisors (see below), whose sum is σ = 137388482. Its totient is φ = 15344640.

The previous prime is 46054643. The next prime is 46054663. The reversal of 46054656 is 65645064.

It is a happy number.

46054656 is a `hidden beast` number, since 4 + 60 + 546 + 56 = 666.

46054656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 4064256 = 6480^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 46054656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19626 + ... + 21846.

Almost surely, 2^46054656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46054656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68694241).

46054656 is an abundant number, since it is smaller than the sum of its proper divisors (91333826).

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

46054656 is an equidigital number, since it uses as much as digits as its factorization.

46054656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2226 counting only the distinct ones).

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

The square root of 46054656 is about 6786.3580807382. The cubic root of 46054656 is about 358.4466404013.

It can be divided in two parts, 4605 and 4656, that added together give a cube (9261 = 21³).

The spelling of 46054656 in words is "forty-six million, fifty-four thousand, six hundred fifty-six".