14996966608800 has 648 divisors, whose sum is σ = 61546988389068. Its totient is φ = 3421764403200.

The previous prime is 14996966608733. The next prime is 14996966608801. The reversal of 14996966608800 is 880666969941.

It can be written as a sum of positive squares in 6 ways, for example, as 10382907951504 + 4614058657296 = 3222252^2 + 2148036^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (14996966608801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14304102 + ... + 15316698.

Almost surely, 2^{14996966608800} is an apocalyptic number.

14996966608800 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 14996966608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30773494194534).

14996966608800 is an abundant number, since it is smaller than the sum of its proper divisors (46550021780268).

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

14996966608800 is a wasteful number, since it uses less digits than its factorization.

14996966608800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012662 (or 1012635 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 14996966608800 in words is "fourteen trillion, nine hundred ninety-six billion, nine hundred sixty-six million, six hundred eight thousand, eight hundred".