14454045648 has 200 divisors, whose sum is σ = 48596155520. Its totient is φ = 4061871360.

The previous prime is 14454045629. The next prime is 14454045667. The reversal of 14454045648 is 84654045441.

14454045648 is a `hidden beast` number, since 1 + 4 + 4 + 540 + 45 + 64 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (14454045629) and next prime (14454045667).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 540333 + ... + 566451.

Almost surely, 2^14454045648 is an apocalyptic number.

14454045648 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 14454045648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24298077760).

14454045648 is an abundant number, since it is smaller than the sum of its proper divisors (34142109872).

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

14454045648 is a wasteful number, since it uses less digits than its factorization.

14454045648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26207 (or 26192 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 14454045648 in words is "fourteen billion, four hundred fifty-four million, forty-five thousand, six hundred forty-eight".