14124987648 has 216 divisors, whose sum is σ = 41860465920. Its totient is φ = 4579061760.

The previous prime is 14124987641. The next prime is 14124987661. The reversal of 14124987648 is 84678942141.

14124987648 is a `hidden beast` number, since 1 + 41 + 2 + 498 + 76 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14124987594 and 14124987603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14124987641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12922590 + ... + 12923682.

Almost surely, 2^14124987648 is an apocalyptic number.

14124987648 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 14124987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930232960).

14124987648 is an abundant number, since it is smaller than the sum of its proper divisors (27735478272).

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

14124987648 is a wasteful number, since it uses less digits than its factorization.

14124987648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1248 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 14124987648 in words is "fourteen billion, one hundred twenty-four million, nine hundred eighty-seven thousand, six hundred forty-eight".