114330142272 has 112 divisors (see below), whose sum is σ = 304440336000. Its totient is φ = 37865963520.

The previous prime is 114330142261. The next prime is 114330142327. The reversal of 114330142272 is 272241033411.

It is a super-2 number, since 2×114330142272² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35493622 + ... + 35496842.

Almost surely, 2^114330142272 is an apocalyptic number.

114330142272 is a gapful number since it is divisible by the number (12) 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 114330142272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152220168000).

114330142272 is an abundant number, since it is smaller than the sum of its proper divisors (190110193728).

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

114330142272 is a wasteful number, since it uses less digits than its factorization.

114330142272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 114330142272 its reverse (272241033411), we get a palindrome (386571175683).

The spelling of 114330142272 in words is "one hundred fourteen billion, three hundred thirty million, one hundred forty-two thousand, two hundred seventy-two".