114010432052200 has 48 divisors (see below), whose sum is σ = 270075655575180. Its totient is φ = 44743716725760.

The previous prime is 114010432052149. The next prime is 114010432052221. The reversal of 114010432052200 is 2250234010411.

It can be written as a sum of positive squares in 6 ways, for example, as 60368020538596 + 53642411513604 = 7769686^2 + 7324098^2 .

It is a super-3 number, since 3×114010432052200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5377839969 + ... + 5377861168.

Almost surely, 2^{114010432052200} is an apocalyptic number.

114010432052200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114010432052200 is an abundant number, since it is smaller than the sum of its proper divisors (156065223522980).

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

114010432052200 is a wasteful number, since it uses less digits than its factorization.

114010432052200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10755701206 (or 10755701197 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 114010432052200 its reverse (2250234010411), we get a palindrome (116260666062611).

The spelling of 114010432052200 in words is "one hundred fourteen trillion, ten billion, four hundred thirty-two million, fifty-two thousand, two hundred".