46011168 has 144 divisors (see below), whose sum is σ = 154889280. Its totient is φ = 12676608.

The previous prime is 46011149. The next prime is 46011169. The reversal of 46011168 is 86111064.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (46011169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58071 + ... + 58857.

It is an arithmetic number, because the mean of its divisors is an integer number (1075620).

Almost surely, 2^46011168 is an apocalyptic number.

46011168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46011168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77444640).

46011168 is an abundant number, since it is smaller than the sum of its proper divisors (108878112).

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

46011168 is a wasteful number, since it uses less digits than its factorization.

46011168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 46011168 is about 6783.1532490428. The cubic root of 46011168 is about 358.3337814789. Note that the first 3 decimals are identical.

It can be divided in two parts, 460 and 11168, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 46011168 in words is "forty-six million, eleven thousand, one hundred sixty-eight".