14821848960 has 384 divisors, whose sum is σ = 50683514400. Its totient is φ = 3679764480.

The previous prime is 14821848959. The next prime is 14821848967. The reversal of 14821848960 is 6984812841.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14821848967) by changing a digit.

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, 53508342 + ... + 53508618.

Almost surely, 2^14821848960 is an apocalyptic number.

14821848960 is a gapful number since it is divisible by the number (10) 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 14821848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25341757200).

14821848960 is an abundant number, since it is smaller than the sum of its proper divisors (35861665440).

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

14821848960 is a wasteful number, since it uses less digits than its factorization.

14821848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 14821848960 in words is "fourteen billion, eight hundred twenty-one million, eight hundred forty-eight thousand, nine hundred sixty".