14200117735100 has 72 divisors (see below), whose sum is σ = 33948378945936. Its totient is φ = 5112553600000.

The previous prime is 14200117735079. The next prime is 14200117735109. The reversal of 14200117735100 is 153771100241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200117735109) 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, 63795821 + ... + 64018020.

It is an arithmetic number, because the mean of its divisors is an integer number (471505263138).

Almost surely, 2^{14200117735100} is an apocalyptic number.

14200117735100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14200117735100 is an abundant number, since it is smaller than the sum of its proper divisors (19748261210836).

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

14200117735100 is a wasteful number, since it uses less digits than its factorization.

14200117735100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127813967 (or 127813960 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

Adding to 14200117735100 its reverse (153771100241), we get a palindrome (14353888835341).

The spelling of 14200117735100 in words is "fourteen trillion, two hundred billion, one hundred seventeen million, seven hundred thirty-five thousand, one hundred".