114433414101001 has 24 divisors (see below), whose sum is σ = 119248615578624. Its totient is φ = 109698287973120.

The previous prime is 114433414100917. The next prime is 114433414101043. The reversal of 114433414101001 is 100101414334411.

It is not a de Polignac number, because 114433414101001 - 2⁴¹ = 112234390845449 is a prime.

It is a super-2 number, since 2×114433414101001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114433414102001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1538397856 + ... + 1538472238.

It is an arithmetic number, because the mean of its divisors is an integer number (4968692315776).

Almost surely, 2^{114433414101001} is an apocalyptic number.

It is an amenable number.

114433414101001 is a deficient number, since it is larger than the sum of its proper divisors (4815201477623).

114433414101001 is an equidigital number, since it uses as much as digits as its factorization.

114433414101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78809 (or 78700 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 114433414101001 its reverse (100101414334411), we get a palindrome (214534828435412).

The spelling of 114433414101001 in words is "one hundred fourteen trillion, four hundred thirty-three billion, four hundred fourteen million, one hundred one thousand, one".