48121344 has 120 divisors (see below), whose sum is σ = 144897720. Its totient is φ = 15768576.

The previous prime is 48121327. The next prime is 48121351. The reversal of 48121344 is 44312184.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (3072) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 815587 + ... + 815645.

It is an arithmetic number, because the mean of its divisors is an integer number (1207481).

Almost surely, 2^48121344 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 48121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72448860).

48121344 is an abundant number, since it is smaller than the sum of its proper divisors (96776376).

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

48121344 is an frugal number, since it uses more digits than its factorization.

48121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 64 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 48121344 is about 6936.9549515620. The cubic root of 48121344 is about 363.7301062560.

The spelling of 48121344 in words is "forty-eight million, one hundred twenty-one thousand, three hundred forty-four".