114344504150140 has 96 divisors (see below), whose sum is σ = 270502085468160. Its totient is φ = 40223783846400.

The previous prime is 114344504150113. The next prime is 114344504150197. The reversal of 114344504150140 is 41051405443411.

It is a self number, because there is not a number n which added to its sum of digits gives 114344504150140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15539949 + ... + 21683611.

It is an arithmetic number, because the mean of its divisors is an integer number (2817730056960).

Almost surely, 2^{114344504150140} is an apocalyptic number.

114344504150140 is a gapful number since it is divisible by the number (10) 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 114344504150140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135251042734080).

114344504150140 is an abundant number, since it is smaller than the sum of its proper divisors (156157581318020).

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

114344504150140 is a wasteful number, since it uses less digits than its factorization.

114344504150140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146443 (or 6146441 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

Adding to 114344504150140 its reverse (41051405443411), we get a palindrome (155395909593551).

The spelling of 114344504150140 in words is "one hundred fourteen trillion, three hundred forty-four billion, five hundred four million, one hundred fifty thousand, one hundred forty".