114301135303245 has 144 divisors (see below), whose sum is σ = 219126399566256. Its totient is φ = 55073946470400.

The previous prime is 114301135303241. The next prime is 114301135303279. The reversal of 114301135303245 is 542303531103411.

114301135303245 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 0 + 113 + 530 + 3 + 2 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2461817484324 + 111839317818921 = 1569018^2 + 10575411^2 .

It is not a de Polignac number, because 114301135303245 - 2² = 114301135303241 is a prime.

It is a super-2 number, since 2×114301135303245² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114301135303241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2220232905 + ... + 2220284385.

It is an arithmetic number, because the mean of its divisors is an integer number (1521711108099).

Almost surely, 2^{114301135303245} is an apocalyptic number.

114301135303245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114301135303245 is a deficient number, since it is larger than the sum of its proper divisors (104825264263011).

114301135303245 is a wasteful number, since it uses less digits than its factorization.

114301135303245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54044 (or 54030 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 114301135303245 its reverse (542303531103411), we get a palindrome (656604666406656).

The spelling of 114301135303245 in words is "one hundred fourteen trillion, three hundred one billion, one hundred thirty-five million, three hundred three thousand, two hundred forty-five".