114589532064 has 96 divisors (see below), whose sum is σ = 358715105280. Its totient is φ = 31316389632.

The previous prime is 114589532063. The next prime is 114589532069. The reversal of 114589532064 is 460235985411.

114589532064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (114589532063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3691504 + ... + 3722415.

It is an arithmetic number, because the mean of its divisors is an integer number (3736615680).

Almost surely, 2^114589532064 is an apocalyptic number.

114589532064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114589532064 is an abundant number, since it is smaller than the sum of its proper divisors (244125573216).

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

114589532064 is a wasteful number, since it uses less digits than its factorization.

114589532064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7413962 (or 7413954 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 114589532064 in words is "one hundred fourteen billion, five hundred eighty-nine million, five hundred thirty-two thousand, sixty-four".