111431011302144 has 576 divisors, whose sum is σ = 342337786560000. Its totient is φ = 35724531548160.

The previous prime is 111431011302109. The next prime is 111431011302157. The reversal of 111431011302144 is 441203110134111.

111431011302144 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 310 + 1 + 1 + 302 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8040328687 + ... + 8040342545.

It is an arithmetic number, because the mean of its divisors is an integer number (594336435000).

Almost surely, 2^{111431011302144} 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 111431011302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171168893280000).

111431011302144 is an abundant number, since it is smaller than the sum of its proper divisors (230906775257856).

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

111431011302144 is a wasteful number, since it uses less digits than its factorization.

111431011302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14281 (or 14261 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 111431011302144 its reverse (441203110134111), we get a palindrome (552634121436255).

The spelling of 111431011302144 in words is "one hundred eleven trillion, four hundred thirty-one billion, eleven million, three hundred two thousand, one hundred forty-four".