114242131542225 has 96 divisors (see below), whose sum is σ = 194088398797440. Its totient is φ = 59270859325440.

The previous prime is 114242131542211. The next prime is 114242131542233. The reversal of 114242131542225 is 522245131242411.

It is not a de Polignac number, because 114242131542225 - 2³⁷ = 114104692588753 is a prime.

It is a super-2 number, since 2×114242131542225² (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, 4368209749 + ... + 4368235901.

It is an arithmetic number, because the mean of its divisors is an integer number (2021754154140).

Almost surely, 2^{114242131542225} is an apocalyptic number.

114242131542225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114242131542225 is a deficient number, since it is larger than the sum of its proper divisors (79846267255215).

114242131542225 is a wasteful number, since it uses less digits than its factorization.

114242131542225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36499 (or 36494 counting only the distinct ones).

The product of its digits is 153600, while the sum is 39.

Adding to 114242131542225 its reverse (522245131242411), we get a palindrome (636487262784636).

The spelling of 114242131542225 in words is "one hundred fourteen trillion, two hundred forty-two billion, one hundred thirty-one million, five hundred forty-two thousand, two hundred twenty-five".