114332101233411 has 16 divisors (see below), whose sum is σ = 153952818653088. Its totient is φ = 75466399008000.

The previous prime is 114332101233403. The next prime is 114332101233431.

It is a happy number.

114332101233411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 114332101233411 - 2³ = 114332101233403 is a prime.

It is a super-2 number, since 2×114332101233411² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114332101233431) 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 15 ways as a sum of consecutive naturals, for example, 80757045 + ... + 82160601.

It is an arithmetic number, because the mean of its divisors is an integer number (9622051165818).

Almost surely, 2^{114332101233411} is an apocalyptic number.

114332101233411 is a deficient number, since it is larger than the sum of its proper divisors (39620717419677).

114332101233411 is a wasteful number, since it uses less digits than its factorization.

114332101233411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672502.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 11433210 and 1233411, that added together give a palindrome (12666621).

The spelling of 114332101233411 in words is "one hundred fourteen trillion, three hundred thirty-two billion, one hundred one million, two hundred thirty-three thousand, four hundred eleven".