114314240000 has 280 divisors, whose sum is σ = 290193389640. Its totient is φ = 45006848000.

The previous prime is 114314239987. The next prime is 114314240017. The reversal of 114314240000 is 42413411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 424959866 + ... + 424960134.

It is an arithmetic number, because the mean of its divisors is an integer number (1036404963).

Almost surely, 2^114314240000 is an apocalyptic number.

114314240000 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 114314240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145096694820).

114314240000 is an abundant number, since it is smaller than the sum of its proper divisors (175879149640).

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

114314240000 is an frugal number, since it uses more digits than its factorization.

114314240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 114314240000 its reverse (42413411), we get a palindrome (114356653411).

The spelling of 114314240000 in words is "one hundred fourteen billion, three hundred fourteen million, two hundred forty thousand".