114300103311144 has 128 divisors (see below), whose sum is σ = 318321469872000. Its totient is φ = 38001541174272.

The previous prime is 114300103311133. The next prime is 114300103311193. The reversal of 114300103311144 is 441113301003411.

114300103311144 is a `hidden beast` number, since 1 + 1 + 4 + 300 + 1 + 0 + 3 + 311 + 1 + 44 = 666.

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 31 ways as a sum of consecutive naturals, for example, 342051954 + ... + 342385950.

It is an arithmetic number, because the mean of its divisors is an integer number (2486886483375).

Almost surely, 2^{114300103311144} 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 114300103311144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159160734936000).

114300103311144 is an abundant number, since it is smaller than the sum of its proper divisors (204021366560856).

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

114300103311144 is a wasteful number, since it uses less digits than its factorization.

114300103311144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338104 (or 338094 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 114300103311144 its reverse (441113301003411), we get a palindrome (555413404314555).

The spelling of 114300103311144 in words is "one hundred fourteen trillion, three hundred billion, one hundred three million, three hundred eleven thousand, one hundred forty-four".