114013366247200 has 108 divisors (see below), whose sum is σ = 323777600723682. Its totient is φ = 39090296985600.

The previous prime is 114013366247191. The next prime is 114013366247227. The reversal of 114013366247200 is 2742663310411.

It can be written as a sum of positive squares in 3 ways, for example, as 54508866192144 + 59504500055056 = 7383012^2 + 7713916^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1454212921 + ... + 1454291320.

Almost surely, 2^{114013366247200} is an apocalyptic number.

114013366247200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114013366247200 is an abundant number, since it is smaller than the sum of its proper divisors (209764234476482).

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

114013366247200 is a wasteful number, since it uses less digits than its factorization.

114013366247200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908504275 (or 2908504255 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 114013366247200 in words is "one hundred fourteen trillion, thirteen billion, three hundred sixty-six million, two hundred forty-seven thousand, two hundred".