114012422511345 has 128 divisors (see below), whose sum is σ = 207845587353600. Its totient is φ = 60021272548800.

The previous prime is 114012422511233. The next prime is 114012422511437. The reversal of 114012422511345 is 543115224210411.

114012422511345 is a `hidden beast` number, since 1 + 1 + 40 + 1 + 24 + 2 + 251 + 1 + 345 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-114012422511345 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1044598786 + ... + 1044707924.

It is an arithmetic number, because the mean of its divisors is an integer number (1623793651200).

Almost surely, 2^{114012422511345} is an apocalyptic number.

114012422511345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114012422511345 is a deficient number, since it is larger than the sum of its proper divisors (93833164842255).

114012422511345 is an equidigital number, since it uses as much as digits as its factorization.

114012422511345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110399 (or 110381 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 114012422511345 its reverse (543115224210411), we get a palindrome (657127646721756).

The spelling of 114012422511345 in words is "one hundred fourteen trillion, twelve billion, four hundred twenty-two million, five hundred eleven thousand, three hundred forty-five".