114511240322145 has 96 divisors (see below), whose sum is σ = 209366820748800. Its totient is φ = 57824368584192.

The previous prime is 114511240322137. The next prime is 114511240322153. The reversal of 114511240322145 is 541223042115411.

114511240322145 is a `hidden beast` number, since 1 + 1 + 4 + 51 + 1 + 240 + 322 + 1 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (114511240322137) and next prime (114511240322153).

It is not a de Polignac number, because 114511240322145 - 2³ = 114511240322137 is a prime.

It is a super-2 number, since 2×114511240322145² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16286136 + ... + 22231974.

It is an arithmetic number, because the mean of its divisors is an integer number (2180904382800).

Almost surely, 2^{114511240322145} is an apocalyptic number.

114511240322145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114511240322145 is a deficient number, since it is larger than the sum of its proper divisors (94855580426655).

114511240322145 is a wasteful number, since it uses less digits than its factorization.

114511240322145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946199 (or 5946196 counting only the distinct ones).

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

Adding to 114511240322145 its reverse (541223042115411), we get a palindrome (655734282437556).

The spelling of 114511240322145 in words is "one hundred fourteen trillion, five hundred eleven billion, two hundred forty million, three hundred twenty-two thousand, one hundred forty-five".