48153664 has 56 divisors (see below), whose sum is σ = 106281728. Its totient is φ = 21496320.

The previous prime is 48153653. The next prime is 48153683. The reversal of 48153664 is 46635184.

It is a happy number.

It is a zygodrome in base 6.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 24859 + ... + 26725.

It is an arithmetic number, because the mean of its divisors is an integer number (1897888).

Almost surely, 2^48153664 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 48153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53140864).

48153664 is an abundant number, since it is smaller than the sum of its proper divisors (58128064).

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

48153664 is a wasteful number, since it uses less digits than its factorization.

48153664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1913 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 48153664 is about 6939.2841129327. The cubic root of 48153664 is about 363.8115193753.

It can be divided in two parts, 481 and 53664, that added together give a palindrome (54145).

The spelling of 48153664 in words is "forty-eight million, one hundred fifty-three thousand, six hundred sixty-four".