48161664 has 96 divisors (see below), whose sum is σ = 140343840. Its totient is φ = 15851520.

The previous prime is 48161653. The next prime is 48161671. The reversal of 48161664 is 46616184.

48161664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 111529 + ... + 111959.

It is an arithmetic number, because the mean of its divisors is an integer number (1461915).

Almost surely, 2^48161664 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 48161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70171920).

48161664 is an abundant number, since it is smaller than the sum of its proper divisors (92182176).

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

48161664 is a wasteful number, since it uses less digits than its factorization.

48161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 533 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 48161664 is about 6939.8605173303. The cubic root of 48161664 is about 363.8316655127.

The spelling of 48161664 in words is "forty-eight million, one hundred sixty-one thousand, six hundred sixty-four".