14881248 has 72 divisors (see below), whose sum is σ = 42712488. Its totient is φ = 4914432.

The previous prime is 14881241. The next prime is 14881249. The reversal of 14881248 is 84218841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 not an unprimeable number, because it can be changed into a prime (14881241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46786 + ... + 47102.

It is an arithmetic number, because the mean of its divisors is an integer number (593229).

Almost surely, 2^14881248 is an apocalyptic number.

14881248 is a gapful number since it is divisible by the number (18) 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 14881248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21356244).

14881248 is an abundant number, since it is smaller than the sum of its proper divisors (27831240).

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

14881248 is a wasteful number, since it uses less digits than its factorization.

14881248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 14881248 is about 3857.6220654699. The cubic root of 14881248 is about 245.9686654517.

It can be divided in two parts, 14881 and 248, that added together give a square (15129 = 123²).

The spelling of 14881248 in words is "fourteen million, eight hundred eighty-one thousand, two hundred forty-eight".