14457201408 has 504 divisors, whose sum is σ = 47854250640. Its totient is φ = 4329676800.

The previous prime is 14457201313. The next prime is 14457201427. The reversal of 14457201408 is 80410275441.

It is a happy number.

14457201408 is a `hidden beast` number, since 1 + 4 + 45 + 7 + 201 + 408 = 666.

14457201408 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 an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 143140558 + ... + 143140658.

It is an arithmetic number, because the mean of its divisors is an integer number (94948910).

Almost surely, 2^14457201408 is an apocalyptic number.

14457201408 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 14457201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23927125320).

14457201408 is an abundant number, since it is smaller than the sum of its proper divisors (33397049232).

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

14457201408 is an equidigital number, since it uses as much as digits as its factorization.

14457201408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 14457201408 its reverse (80410275441), we get a palindrome (94867476849).

The spelling of 14457201408 in words is "fourteen billion, four hundred fifty-seven million, two hundred one thousand, four hundred eight".