114242125314500 has 192 divisors, whose sum is σ = 271861379951616. Its totient is φ = 41763148646400.

The previous prime is 114242125314479. The next prime is 114242125314547. The reversal of 114242125314500 is 5413521242411.

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 63 ways as a sum of consecutive naturals, for example, 157832417 + ... + 158554583.

It is an arithmetic number, because the mean of its divisors is an integer number (1415944687248).

Almost surely, 2^{114242125314500} is an apocalyptic number.

114242125314500 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 114242125314500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135930689975808).

114242125314500 is an abundant number, since it is smaller than the sum of its proper divisors (157619254637116).

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

114242125314500 is a wasteful number, since it uses less digits than its factorization.

114242125314500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722743 (or 722731 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 114242125314500 its reverse (5413521242411), we get a palindrome (119655646556911).

The spelling of 114242125314500 in words is "one hundred fourteen trillion, two hundred forty-two billion, one hundred twenty-five million, three hundred fourteen thousand, five hundred".