114313042401000 has 256 divisors, whose sum is σ = 361998127296000. Its totient is φ = 30029978880000.

The previous prime is 114313042400993. The next prime is 114313042401007. The reversal of 114313042401000 is 104240313411.

It is an interprime number because it is at equal distance from previous prime (114313042400993) and next prime (114313042401007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (114313042401007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59349084 + ... + 61244916.

It is an arithmetic number, because the mean of its divisors is an integer number (1414055184750).

Almost surely, 2^{114313042401000} is an apocalyptic number.

114313042401000 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 114313042401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180999063648000).

114313042401000 is an abundant number, since it is smaller than the sum of its proper divisors (247685084895000).

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

114313042401000 is a wasteful number, since it uses less digits than its factorization.

114313042401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896157 (or 1896143 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114313042401000 its reverse (104240313411), we get a palindrome (114417282714411).

The spelling of 114313042401000 in words is "one hundred fourteen trillion, three hundred thirteen billion, forty-two million, four hundred one thousand".