46749664 has 48 divisors (see below), whose sum is σ = 100124640. Its totient is φ = 21358080.

The previous prime is 46749649. The next prime is 46749673. The reversal of 46749664 is 46694764.

46749664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46749664² = 4371062168225792, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 44829 + ... + 45859.

It is an arithmetic number, because the mean of its divisors is an integer number (2085930).

Almost surely, 2^46749664 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 46749664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50062320).

46749664 is an abundant number, since it is smaller than the sum of its proper divisors (53374976).

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

46749664 is a wasteful number, since it uses less digits than its factorization.

46749664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1155 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The square root of 46749664 is about 6837.3725947911. The cubic root of 46749664 is about 360.2407443199.

The spelling of 46749664 in words is "forty-six million, seven hundred forty-nine thousand, six hundred sixty-four".