114014540350200 has 192 divisors, whose sum is σ = 403977743055360. Its totient is φ = 26057852536320.

The previous prime is 114014540350181. The next prime is 114014540350201. The reversal of 114014540350200 is 2053045410411.

It is a super-2 number, since 2×114014540350200² (a number of 29 digits) contains 22 as substring.

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 (114014540350201) 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, 40673034 + ... + 43385766.

It is an arithmetic number, because the mean of its divisors is an integer number (2104050745080).

Almost surely, 2^{114014540350200} is an apocalyptic number.

114014540350200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114014540350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201988871527680).

114014540350200 is an abundant number, since it is smaller than the sum of its proper divisors (289963202705160).

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

114014540350200 is a wasteful number, since it uses less digits than its factorization.

114014540350200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722766 (or 2722757 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 114014540350200 its reverse (2053045410411), we get a palindrome (116067585760611).

The spelling of 114014540350200 in words is "one hundred fourteen trillion, fourteen billion, five hundred forty million, three hundred fifty thousand, two hundred".