114530732064 has 288 divisors, whose sum is σ = 386623770624. Its totient is φ = 31470405120.

The previous prime is 114530732059. The next prime is 114530732087. The reversal of 114530732064 is 460237035411.

114530732064 is a `hidden beast` number, since 1 + 145 + 307 + 3 + 206 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10181227 + ... + 10192469.

It is an arithmetic number, because the mean of its divisors is an integer number (1342443648).

Almost surely, 2^114530732064 is an apocalyptic number.

114530732064 is a gapful number since it is divisible by the number (14) 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 114530732064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193311885312).

114530732064 is an abundant number, since it is smaller than the sum of its proper divisors (272093038560).

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

114530732064 is a wasteful number, since it uses less digits than its factorization.

114530732064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11460 (or 11449 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 114530732064 its reverse (460237035411), we get a palindrome (574767767475).

The spelling of 114530732064 in words is "one hundred fourteen billion, five hundred thirty million, seven hundred thirty-two thousand, sixty-four".