114313141342400 has 672 divisors, whose sum is σ = 378749025177600. Its totient is φ = 32794896384000.

The previous prime is 114313141342321. The next prime is 114313141342427. The reversal of 114313141342400 is 4243141313411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 558856145 + ... + 559060655.

It is an arithmetic number, because the mean of its divisors is an integer number (563614620800).

Almost surely, 2^{114313141342400} is an apocalyptic number.

114313141342400 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 114313141342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189374512588800).

114313141342400 is an abundant number, since it is smaller than the sum of its proper divisors (264435883835200).

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

114313141342400 is a wasteful number, since it uses less digits than its factorization.

114313141342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204913 (or 204898 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 114313141342400 its reverse (4243141313411), we get a palindrome (118556282655811).

The spelling of 114313141342400 in words is "one hundred fourteen trillion, three hundred thirteen billion, one hundred forty-one million, three hundred forty-two thousand, four hundred".