14642171111100 has 144 divisors (see below), whose sum is σ = 45625164490080. Its totient is φ = 3604095513600.

The previous prime is 14642171111093. The next prime is 14642171111107. The reversal of 14642171111100 is 111117124641.

It is an interprime number because it is at equal distance from previous prime (14642171111093) and next prime (14642171111107).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14642171111107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148419790 + ... + 148518410.

It is an arithmetic number, because the mean of its divisors is an integer number (316841420070).

Almost surely, 2^{14642171111100} is an apocalyptic number.

14642171111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14642171111100 is an abundant number, since it is smaller than the sum of its proper divisors (30982993378980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14642171111100 is a wasteful number, since it uses less digits than its factorization.

14642171111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136720 (or 136713 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 30.

Adding to 14642171111100 its reverse (111117124641), we get a palindrome (14753288235741).

The spelling of 14642171111100 in words is "fourteen trillion, six hundred forty-two billion, one hundred seventy-one million, one hundred eleven thousand, one hundred".