14149352448 has 528 divisors, whose sum is σ = 51665362944. Its totient is φ = 3622993920.

The previous prime is 14149352443. The next prime is 14149352489. The reversal of 14149352448 is 84425394141.

14149352448 is a `hidden beast` number, since 1 + 41 + 49 + 3 + 524 + 48 = 666.

14149352448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14149352443) 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 47 ways as a sum of consecutive naturals, for example, 90123186 + ... + 90123342.

Almost surely, 2^14149352448 is an apocalyptic number.

14149352448 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 14149352448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25832681472).

14149352448 is an abundant number, since it is smaller than the sum of its proper divisors (37516010496).

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

14149352448 is a wasteful number, since it uses less digits than its factorization.

14149352448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 14149352448 in words is "fourteen billion, one hundred forty-nine million, three hundred fifty-two thousand, four hundred forty-eight".