14368330368000 has 5632 divisors, whose sum is σ = 70631129088000. Its totient is φ = 2861236224000.

The previous prime is 14368330367971. The next prime is 14368330368001. The reversal of 14368330368000 is 86303386341.

14368330368000 is a `hidden beast` number, since 1 + 436 + 83 + 30 + 36 + 80 + 0 + 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 not an unprimeable number, because it can be changed into a prime (14368330368001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 463494527985 + ... + 463494528015.

Almost surely, 2^{14368330368000} is an apocalyptic number.

14368330368000 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 14368330368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35315564544000).

14368330368000 is an abundant number, since it is smaller than the sum of its proper divisors (56262798720000).

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

14368330368000 is a wasteful number, since it uses less digits than its factorization.

14368330368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 14368330368000 in words is "fourteen trillion, three hundred sixty-eight billion, three hundred thirty million, three hundred sixty-eight thousand".