48144564 has 96 divisors (see below), whose sum is σ = 137168640. Its totient is φ = 14511744.

The previous prime is 48144559. The next prime is 48144571. The reversal of 48144564 is 46544184.

It is a happy number.

48144564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 74089 + ... + 74735.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^48144564 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 48144564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68584320).

48144564 is an abundant number, since it is smaller than the sum of its proper divisors (89024076).

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

48144564 is a wasteful number, since it uses less digits than its factorization.

48144564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 718 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 48144564 is about 6938.6283947189. The cubic root of 48144564 is about 363.7886004312.

The spelling of 48144564 in words is "forty-eight million, one hundred forty-four thousand, five hundred sixty-four".