14241648000 has 512 divisors, whose sum is σ = 51692359680. Its totient is φ = 3452928000.

The previous prime is 14241647957. The next prime is 14241648041. The reversal of 14241648000 is 84614241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25295719 + ... + 25296281.

It is an arithmetic number, because the mean of its divisors is an integer number (100961640).

Almost surely, 2^14241648000 is an apocalyptic number.

14241648000 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 14241648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25846179840).

14241648000 is an abundant number, since it is smaller than the sum of its proper divisors (37450711680).

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

14241648000 is a wasteful number, since it uses less digits than its factorization.

14241648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 14241648000 in words is "fourteen billion, two hundred forty-one million, six hundred forty-eight thousand".