144114221100109 has 64 divisors (see below), whose sum is σ = 163737587220480. Its totient is φ = 125923114690560.

The previous prime is 144114221100097. The next prime is 144114221100193. The reversal of 144114221100109 is 901001122411441.

It is not a de Polignac number, because 144114221100109 - 2⁵ = 144114221100077 is a prime.

It is a super-2 number, since 2×144114221100109² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144114221100209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3919643844 + ... + 3919680610.

It is an arithmetic number, because the mean of its divisors is an integer number (2558399800320).

Almost surely, 2^{144114221100109} is an apocalyptic number.

It is an amenable number.

144114221100109 is a deficient number, since it is larger than the sum of its proper divisors (19623366120371).

144114221100109 is a wasteful number, since it uses less digits than its factorization.

144114221100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37690.

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 144114221100109 in words is "one hundred forty-four trillion, one hundred fourteen billion, two hundred twenty-one million, one hundred thousand, one hundred nine".