14468788518912 has 1050 divisors, whose sum is σ = 53692189873512. Its totient is φ = 3815944224768.

The previous prime is 14468788518883. The next prime is 14468788518937. The reversal of 14468788518912 is 21981588786441.

14468788518912 is a `hidden beast` number, since 1 + 4 + 468 + 7 + 8 + 85 + 1 + 89 + 1 + 2 = 666.

It is a super-3 number, since 3×14468788518912³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1112983732218 + ... + 1112983732230.

Almost surely, 2^{14468788518912} is an apocalyptic number.

14468788518912 is a gapful number since it is divisible by the number (12) 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 14468788518912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26846094936756).

14468788518912 is an abundant number, since it is smaller than the sum of its proper divisors (39223401354600).

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

14468788518912 is an frugal number, since it uses more digits than its factorization.

14468788518912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 25 counting only the distinct ones).

The product of its digits is 247726080, while the sum is 72.

The spelling of 14468788518912 in words is "fourteen trillion, four hundred sixty-eight billion, seven hundred eighty-eight million, five hundred eighteen thousand, nine hundred twelve".