46956168 has 96 divisors (see below), whose sum is σ = 146540160. Its totient is φ = 13305600.

The previous prime is 46956139. The next prime is 46956181. The reversal of 46956168 is 86165964.

46956168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 75796 + ... + 76412.

It is an arithmetic number, because the mean of its divisors is an integer number (1526460).

Almost surely, 2^46956168 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 46956168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73270080).

46956168 is an abundant number, since it is smaller than the sum of its proper divisors (99583992).

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

46956168 is a wasteful number, since it uses less digits than its factorization.

46956168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 780 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 46956168 is about 6852.4570775744. The cubic root of 46956168 is about 360.7703872596.

The spelling of 46956168 in words is "forty-six million, nine hundred fifty-six thousand, one hundred sixty-eight".