14812416603648 has 480 divisors, whose sum is σ = 46838343895200. Its totient is φ = 4487871725568.

The previous prime is 14812416603613. The next prime is 14812416603661. The reversal of 14812416603648 is 84630661421841.

14812416603648 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 24 + 1 + 6 + 603 + 6 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14812416603594 and 14812416603603.

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 47 ways as a sum of consecutive naturals, for example, 299767168 + ... + 299816576.

It is an arithmetic number, because the mean of its divisors is an integer number (97579883115).

Almost surely, 2^{14812416603648} is an apocalyptic number.

14812416603648 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 14812416603648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23419171947600).

14812416603648 is an abundant number, since it is smaller than the sum of its proper divisors (32025927291552).

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

14812416603648 is a wasteful number, since it uses less digits than its factorization.

14812416603648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49582 (or 49563 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 14812416603648 in words is "fourteen trillion, eight hundred twelve billion, four hundred sixteen million, six hundred three thousand, six hundred forty-eight".