14800001101101 has 24 divisors (see below), whose sum is σ = 21472346783160. Its totient is φ = 9823025779200.

The previous prime is 14800001101099. The next prime is 14800001101111. The reversal of 14800001101101 is 10110110000841.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12931719444900 + 1868281656201 = 3596070^2 + 1366851^2 .

It is not a de Polignac number, because 14800001101101 - 2¹ = 14800001101099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14800001101111) 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, 37977921 + ... + 38365641.

It is an arithmetic number, because the mean of its divisors is an integer number (894681115965).

Almost surely, 2^{14800001101101} is an apocalyptic number.

It is an amenable number.

14800001101101 is a deficient number, since it is larger than the sum of its proper divisors (6672345682059).

14800001101101 is a wasteful number, since it uses less digits than its factorization.

14800001101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406477 (or 406474 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 14800001101101 its reverse (10110110000841), we get a palindrome (24910111101942).

The spelling of 14800001101101 in words is "fourteen trillion, eight hundred billion, one million, one hundred one thousand, one hundred one".