14980143144960 has 3584 divisors, whose sum is σ = 69302449152000. Its totient is φ = 3051985305600.

The previous prime is 14980143144947. The next prime is 14980143144979. The reversal of 14980143144960 is 6944134108941.

It is a happy number.

14980143144960 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 0 + 143 + 1 + 4 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14980143144897 and 14980143144906.

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 255 ways as a sum of consecutive naturals, for example, 148318248910 + ... + 148318249010.

Almost surely, 2^{14980143144960} is an apocalyptic number.

14980143144960 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 14980143144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34651224576000).

14980143144960 is an abundant number, since it is smaller than the sum of its proper divisors (54322306007040).

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

14980143144960 is a wasteful number, since it uses less digits than its factorization.

14980143144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 14980143144960 in words is "fourteen trillion, nine hundred eighty billion, one hundred forty-three million, one hundred forty-four thousand, nine hundred sixty".