114800663359200 has 3456 divisors, whose sum is σ = 528220246740480. Its totient is φ = 21329215488000.

The previous prime is 114800663359177. The next prime is 114800663359201. The reversal of 114800663359200 is 2953366008411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 114800663359200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114800663359201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 40985597800 + ... + 40985600600.

It is an arithmetic number, because the mean of its divisors is an integer number (152841506580).

Almost surely, 2^{114800663359200} is an apocalyptic number.

114800663359200 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 114800663359200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264110123370240).

114800663359200 is an abundant number, since it is smaller than the sum of its proper divisors (413419583381280).

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

114800663359200 is a wasteful number, since it uses less digits than its factorization.

114800663359200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 114800663359200 in words is "one hundred fourteen trillion, eight hundred billion, six hundred sixty-three million, three hundred fifty-nine thousand, two hundred".