114001360000 has 240 divisors, whose sum is σ = 311971129470. Its totient is φ = 41451520000.

The previous prime is 114001359929. The next prime is 114001360007. The reversal of 114001360000 is 63100411.

It can be written as a sum of positive squares in 5 ways, for example, as 5043272256 + 108958087744 = 71016^2 + 330088^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (114001360007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9674112 + ... + 9685888.

Almost surely, 2^114001360000 is an apocalyptic number.

114001360000 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 114001360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155985564735).

114001360000 is an abundant number, since it is smaller than the sum of its proper divisors (197969769470).

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

114001360000 is an equidigital number, since it uses as much as digits as its factorization.

114001360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11833 (or 11795 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 114001360000 its reverse (63100411), we get a palindrome (114064460411).

The spelling of 114001360000 in words is "one hundred fourteen billion, one million, three hundred sixty thousand".