14248238004 has 288 divisors, whose sum is σ = 48569364480. Its totient is φ = 3401222400.

The previous prime is 14248238003. The next prime is 14248238027. The reversal of 14248238004 is 40083284241.

14248238004 is a `hidden beast` number, since 142 + 482 + 38 + 0 + 0 + 4 = 666.

14248238004 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 self number, because there is not a number n which added to its sum of digits gives 14248238004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14248238003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9765027 + ... + 9766485.

Almost surely, 2^14248238004 is an apocalyptic number.

14248238004 is a gapful number since it is divisible by the number (14) 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 14248238004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284682240).

14248238004 is an abundant number, since it is smaller than the sum of its proper divisors (34321126476).

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

14248238004 is a wasteful number, since it uses less digits than its factorization.

14248238004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

It can be divided in two parts, 14248 and 238004, that added together give a palindrome (252252).

The spelling of 14248238004 in words is "fourteen billion, two hundred forty-eight million, two hundred thirty-eight thousand, four".