14163748128000 has 1440 divisors, whose sum is σ = 55329220058112. Its totient is φ = 3591143424000.

The previous prime is 14163748127989. The next prime is 14163748128037. The reversal of 14163748128000 is 82184736141.

14163748128000 is a `hidden beast` number, since 1 + 4 + 1 + 637 + 4 + 8 + 1 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×14163748128000² (a number of 27 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 11505887385 + ... + 11505888615.

Almost surely, 2^{14163748128000} is an apocalyptic number.

14163748128000 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 14163748128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27664610029056).

14163748128000 is an abundant number, since it is smaller than the sum of its proper divisors (41165471930112).

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

14163748128000 is a wasteful number, since it uses less digits than its factorization.

14163748128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 14163748128000 in words is "fourteen trillion, one hundred sixty-three billion, seven hundred forty-eight million, one hundred twenty-eight thousand".