114025216643600 has 30 divisors (see below), whose sum is σ = 273945582987210. Its totient is φ = 45610086657280.

The previous prime is 114025216643599. The next prime is 114025216643609. The reversal of 114025216643600 is 6346612520411.

It can be written as a sum of positive squares in 3 ways, for example, as 23657834500624 + 90367382142976 = 4863932^2 + 9506176^2 .

It is not an unprimeable number, because it can be changed into a prime (114025216643609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142531520405 + ... + 142531521204.

It is an arithmetic number, because the mean of its divisors is an integer number (9131519432907).

Almost surely, 2^{114025216643600} is an apocalyptic number.

114025216643600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114025216643600 is an abundant number, since it is smaller than the sum of its proper divisors (159920366343610).

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

114025216643600 is a wasteful number, since it uses less digits than its factorization.

114025216643600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285063041627 (or 285063041616 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 114025216643600 in words is "one hundred fourteen trillion, twenty-five billion, two hundred sixteen million, six hundred forty-three thousand, six hundred".