114002225064000 has 896 divisors, whose sum is σ = 514783469491200. Its totient is φ = 24053212569600.

The previous prime is 114002225063981. The next prime is 114002225064059. The reversal of 114002225064000 is 460522200411.

114002225064000 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 2 + 2 + 250 + 6 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16756066 + ... + 22555934.

It is an arithmetic number, because the mean of its divisors is an integer number (574535122200).

Almost surely, 2^{114002225064000} is an apocalyptic number.

114002225064000 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 114002225064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257391734745600).

114002225064000 is an abundant number, since it is smaller than the sum of its proper divisors (400781244427200).

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

114002225064000 is a wasteful number, since it uses less digits than its factorization.

114002225064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5799925 (or 5799899 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 114002225064000 its reverse (460522200411), we get a palindrome (114462747264411).

The spelling of 114002225064000 in words is "one hundred fourteen trillion, two billion, two hundred twenty-five million, sixty-four thousand".