114002077345 has 32 divisors (see below), whose sum is σ = 148576488480. Its totient is φ = 83970881280.

The previous prime is 114002077309. The next prime is 114002077351. The reversal of 114002077345 is 543770200411.

It can be written as a sum of positive squares in 16 ways, for example, as 102751020304 + 11251057041 = 320548^2 + 106071^2 .

It is not a de Polignac number, because 114002077345 - 2³³ = 105412142753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114002077345.

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 31 ways as a sum of consecutive naturals, for example, 4347975 + ... + 4374115.

It is an arithmetic number, because the mean of its divisors is an integer number (4643015265).

Almost surely, 2^114002077345 is an apocalyptic number.

It is an amenable number.

114002077345 is a deficient number, since it is larger than the sum of its proper divisors (34574411135).

114002077345 is an equidigital number, since it uses as much as digits as its factorization.

114002077345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26582 (or 26556 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

Adding to 114002077345 its reverse (543770200411), we get a palindrome (657772277756).

The spelling of 114002077345 in words is "one hundred fourteen billion, two million, seventy-seven thousand, three hundred forty-five".