14350120363488 has 384 divisors, whose sum is σ = 50781842334720. Its totient is φ = 3439191490560.

The previous prime is 14350120363483. The next prime is 14350120363489. The reversal of 14350120363488 is 88436302105341.

It is a super-3 number, since 3×14350120363488³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14350120363483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2640883 + ... + 5972813.

It is an arithmetic number, because the mean of its divisors is an integer number (132244381080).

Almost surely, 2^{14350120363488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14350120363488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25390921167360).

14350120363488 is an abundant number, since it is smaller than the sum of its proper divisors (36431721971232).

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

14350120363488 is a wasteful number, since it uses less digits than its factorization.

14350120363488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332010 (or 3332002 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 14350120363488 in words is "fourteen trillion, three hundred fifty billion, one hundred twenty million, three hundred sixty-three thousand, four hundred eighty-eight".