14882163044400 has 720 divisors, whose sum is σ = 52946763199200. Its totient is φ = 3869811671040.

The previous prime is 14882163044321. The next prime is 14882163044407. The reversal of 14882163044400 is 444036128841.

14882163044400 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 2 + 1 + 630 + 4 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (14882163044407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18395751196 + ... + 18395752004.

It is an arithmetic number, because the mean of its divisors is an integer number (73537171110).

Almost surely, 2^{14882163044400} is an apocalyptic number.

14882163044400 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 14882163044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26473381599600).

14882163044400 is an abundant number, since it is smaller than the sum of its proper divisors (38064600154800).

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

14882163044400 is a wasteful number, since it uses less digits than its factorization.

14882163044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 14882163044400 in words is "fourteen trillion, eight hundred eighty-two billion, one hundred sixty-three million, forty-four thousand, four hundred".