14981243760 has 640 divisors, whose sum is σ = 61700812800. Its totient is φ = 3269652480.

The previous prime is 14981243713. The next prime is 14981243789. The reversal of 14981243760 is 6734218941.

14981243760 is a `hidden beast` number, since 1 + 498 + 124 + 37 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34125621 + ... + 34126059.

It is an arithmetic number, because the mean of its divisors is an integer number (96407520).

Almost surely, 2^14981243760 is an apocalyptic number.

14981243760 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 14981243760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30850406400).

14981243760 is an abundant number, since it is smaller than the sum of its proper divisors (46719569040).

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

14981243760 is a wasteful number, since it uses less digits than its factorization.

14981243760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14981243760 in words is "fourteen billion, nine hundred eighty-one million, two hundred forty-three thousand, seven hundred sixty".