114116064 has 48 divisors (see below), whose sum is σ = 312584832. Its totient is φ = 36384128.

The previous prime is 114116027. The next prime is 114116111. The reversal of 114116064 is 460611411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23634 + ... + 28049.

It is an arithmetic number, because the mean of its divisors is an integer number (6512184).

Almost surely, 2^114116064 is an apocalyptic number.

It is an amenable number.

114116064 is an abundant number, since it is smaller than the sum of its proper divisors (198468768).

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

114116064 is a wasteful number, since it uses less digits than its factorization.

114116064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51719 (or 51711 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 114116064 is about 10682.5120641168. The cubic root of 114116064 is about 485.0452559888.

Adding to 114116064 its reverse (460611411), we get a palindrome (574727475).

It can be divided in two parts, 1141 and 16064, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 114116064 in words is "one hundred fourteen million, one hundred sixteen thousand, sixty-four".