114065334513600 has 168 divisors, whose sum is σ = 383356897473648. Its totient is φ = 29675534131200.

The previous prime is 114065334513593. The next prime is 114065334513629. The reversal of 114065334513600 is 6315433560411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289603339 + ... + 289996938.

It is an arithmetic number, because the mean of its divisors is an integer number (2281886294486).

Almost surely, 2^{114065334513600} is an apocalyptic number.

114065334513600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114065334513600 is an abundant number, since it is smaller than the sum of its proper divisors (269291562960048).

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

114065334513600 is a wasteful number, since it uses less digits than its factorization.

114065334513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579600343 (or 579600328 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 114065334513600 in words is "one hundred fourteen trillion, sixty-five billion, three hundred thirty-four million, five hundred thirteen thousand, six hundred".