114304012352000 has 160 divisors (see below), whose sum is σ = 285394964334480. Its totient is φ = 45662129356800.

The previous prime is 114304012351927. The next prime is 114304012352003. The reversal of 114304012352000 is 253210403411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3918562775296 + 110385449576704 = 1979536^2 + 10506448^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (114304012352003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48054752 + ... + 50377248.

Almost surely, 2^{114304012352000} is an apocalyptic number.

114304012352000 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 114304012352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142697482167240).

114304012352000 is an abundant number, since it is smaller than the sum of its proper divisors (171090951982480).

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

114304012352000 is an frugal number, since it uses more digits than its factorization.

114304012352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323299 (or 2323273 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 114304012352000 its reverse (253210403411), we get a palindrome (114557222755411).

The spelling of 114304012352000 in words is "one hundred fourteen trillion, three hundred four billion, twelve million, three hundred fifty-two thousand".