114254421243136 has 144 divisors (see below), whose sum is σ = 240460444224000. Its totient is φ = 54031607691264.

The previous prime is 114254421243121. The next prime is 114254421243241. The reversal of 114254421243136 is 631342124452411.

It is a super-2 number, since 2×114254421243136² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114254421243092 and 114254421243101.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 17313895965 + ... + 17313902563.

It is an arithmetic number, because the mean of its divisors is an integer number (1669864196000).

Almost surely, 2^{114254421243136} is an apocalyptic number.

114254421243136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114254421243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120230222112000).

114254421243136 is an abundant number, since it is smaller than the sum of its proper divisors (126206022980864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114254421243136 is an equidigital number, since it uses as much as digits as its factorization.

114254421243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11944 (or 11930 counting only the distinct ones).

The product of its digits is 552960, while the sum is 43.

Adding to 114254421243136 its reverse (631342124452411), we get a palindrome (745596545695547).

The spelling of 114254421243136 in words is "one hundred fourteen trillion, two hundred fifty-four billion, four hundred twenty-one million, two hundred forty-three thousand, one hundred thirty-six".