114006583541760 has 3456 divisors, whose sum is σ = 490408568052480. Its totient is φ = 22373826822144.

The previous prime is 114006583541759. The next prime is 114006583541779. The reversal of 114006583541760 is 67145385600411.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1561734021084 + ... + 1561734021156.

It is an arithmetic number, because the mean of its divisors is an integer number (141900627330).

Almost surely, 2^{114006583541760} is an apocalyptic number.

114006583541760 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 114006583541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245204284026240).

114006583541760 is an abundant number, since it is smaller than the sum of its proper divisors (376401984510720).

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

114006583541760 is an equidigital number, since it uses as much as digits as its factorization.

114006583541760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 114006583541760 in words is "one hundred fourteen trillion, six billion, five hundred eighty-three million, five hundred forty-one thousand, seven hundred sixty".