14400011452101 has 32 divisors (see below), whose sum is σ = 21168103372416. Its totient is φ = 8635005792000.

The previous prime is 14400011452069. The next prime is 14400011452129. The reversal of 14400011452101 is 10125411000441.

It is a happy number.

It is not a de Polignac number, because 14400011452101 - 2⁵ = 14400011452069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400011452501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4942230 + ... + 7295591.

It is an arithmetic number, because the mean of its divisors is an integer number (661503230388).

Almost surely, 2^{14400011452101} is an apocalyptic number.

14400011452101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14400011452101 is a deficient number, since it is larger than the sum of its proper divisors (6768091920315).

14400011452101 is a wasteful number, since it uses less digits than its factorization.

14400011452101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12238213.

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 14400011452101 its reverse (10125411000441), we get a palindrome (24525422452542).

The spelling of 14400011452101 in words is "fourteen trillion, four hundred billion, eleven million, four hundred fifty-two thousand, one hundred one".