114058116480 has 1024 divisors, whose sum is σ = 480093143040. Its totient is φ = 22339584000.

The previous prime is 114058116461. The next prime is 114058116503. The reversal of 114058116480 is 84611850411.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 187904337 + ... + 187904943.

It is an arithmetic number, because the mean of its divisors is an integer number (468840960).

Almost surely, 2^114058116480 is an apocalyptic number.

114058116480 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 114058116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240046571520).

114058116480 is an abundant number, since it is smaller than the sum of its proper divisors (366035026560).

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

114058116480 is a wasteful number, since it uses less digits than its factorization.

114058116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

Adding to 114058116480 its reverse (84611850411), we get a palindrome (198669966891).

The spelling of 114058116480 in words is "one hundred fourteen billion, fifty-eight million, one hundred sixteen thousand, four hundred eighty".