114011444001 has 24 divisors (see below), whose sum is σ = 188123707200. Its totient is φ = 60137902656.

The previous prime is 114011443991. The next prime is 114011444003. The reversal of 114011444001 is 100444110411.

It is not a de Polignac number, because 114011444001 - 2¹⁵ = 114011411233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (114011444003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16058926 + ... + 16066023.

It is an arithmetic number, because the mean of its divisors is an integer number (7838487800).

Almost surely, 2^114011444001 is an apocalyptic number.

It is an amenable number.

114011444001 is a deficient number, since it is larger than the sum of its proper divisors (74112263199).

114011444001 is a wasteful number, since it uses less digits than its factorization.

114011444001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32124985 (or 32124972 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 114011444001 its reverse (100444110411), we get a palindrome (214455554412).

The spelling of 114011444001 in words is "one hundred fourteen billion, eleven million, four hundred forty-four thousand, one".