48214144 has 64 divisors (see below), whose sum is σ = 106022880. Its totient is φ = 21838080.

The previous prime is 48214139. The next prime is 48214163. The reversal of 48214144 is 44141284.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170227 + ... + 170509.

Almost surely, 2^48214144 is an apocalyptic number.

48214144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53011440).

48214144 is an abundant number, since it is smaller than the sum of its proper divisors (57808736).

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

48214144 is an equidigital number, since it uses as much as digits as its factorization.

48214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 296 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 48214144 is about 6943.6405436918. The cubic root of 48214144 is about 363.9637688851.

The spelling of 48214144 in words is "forty-eight million, two hundred fourteen thousand, one hundred forty-four".