114031314144 has 72 divisors (see below), whose sum is σ = 353756245752. Its totient is φ = 34554942720.

The previous prime is 114031314143. The next prime is 114031314179. The reversal of 114031314144 is 441413130411.

114031314144 is a `hidden beast` number, since 114 + 0 + 3 + 131 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×114031314144² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114031314143) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17994199 + ... + 18000534.

It is an arithmetic number, because the mean of its divisors is an integer number (4913281191).

Almost surely, 2^114031314144 is an apocalyptic number.

It is an amenable number.

114031314144 is an abundant number, since it is smaller than the sum of its proper divisors (239724931608).

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

114031314144 is a wasteful number, since it uses less digits than its factorization.

114031314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35994760 (or 35994749 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 114031314144 its reverse (441413130411), we get a palindrome (555444444555).

The spelling of 114031314144 in words is "one hundred fourteen billion, thirty-one million, three hundred fourteen thousand, one hundred forty-four".