14506877882112 has 432 divisors, whose sum is σ = 49206648621312. Its totient is φ = 3751823523840.

The previous prime is 14506877882099. The next prime is 14506877882117. The reversal of 14506877882112 is 21128877860541.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14506877882117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96375613 + ... + 96526019.

It is an arithmetic number, because the mean of its divisors is an integer number (113904279216).

Almost surely, 2^{14506877882112} is an apocalyptic number.

14506877882112 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 14506877882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24603324310656).

14506877882112 is an abundant number, since it is smaller than the sum of its proper divisors (34699770739200).

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

14506877882112 is a wasteful number, since it uses less digits than its factorization.

14506877882112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150684 (or 150663 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 60.

The spelling of 14506877882112 in words is "fourteen trillion, five hundred six billion, eight hundred seventy-seven million, eight hundred eighty-two thousand, one hundred twelve".