114051134014332 has 48 divisors (see below), whose sum is σ = 274832838067200. Its totient is φ = 36773407399680.

The previous prime is 114051134014219. The next prime is 114051134014333. The reversal of 114051134014332 is 233410431150411.

It is a happy number.

It is a super-2 number, since 2×114051134014332² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114051134014293 and 114051134014302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114051134014333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71211082 + ... + 72795057.

It is an arithmetic number, because the mean of its divisors is an integer number (5725684126400).

Almost surely, 2^{114051134014332} is an apocalyptic number.

114051134014332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114051134014332 is an abundant number, since it is smaller than the sum of its proper divisors (160781704052868).

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

114051134014332 is a wasteful number, since it uses less digits than its factorization.

114051134014332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144008306 (or 144008304 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 114051134014332 its reverse (233410431150411), we get a palindrome (347461565164743).

The spelling of 114051134014332 in words is "one hundred fourteen trillion, fifty-one billion, one hundred thirty-four million, fourteen thousand, three hundred thirty-two".