14011231122144 has 72 divisors (see below), whose sum is σ = 39863698023240. Its totient is φ = 4668152848128.

The previous prime is 14011231122139. The next prime is 14011231122149. The reversal of 14011231122144 is 44122113211041.

14011231122144 is a `hidden beast` number, since 1 + 401 + 1 + 2 + 3 + 112 + 2 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (14011231122139) and next prime (14011231122149).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×14011231122144² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14011231122149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11161042 + ... + 12352785.

It is an arithmetic number, because the mean of its divisors is an integer number (553662472545).

Almost surely, 2^{14011231122144} is an apocalyptic number.

It is an amenable number.

14011231122144 is an abundant number, since it is smaller than the sum of its proper divisors (25852466901096).

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

14011231122144 is a wasteful number, since it uses less digits than its factorization.

14011231122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23515912 (or 23515901 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 14011231122144 its reverse (44122113211041), we get a palindrome (58133344333185).

The spelling of 14011231122144 in words is "fourteen trillion, eleven billion, two hundred thirty-one million, one hundred twenty-two thousand, one hundred forty-four".