114776064 has 144 divisors (see below), whose sum is σ = 357739200. Its totient is φ = 35241984.

The previous prime is 114776029. The next prime is 114776089. The reversal of 114776064 is 460677411.

114776064 is a `hidden beast` number, since 1 + 1 + 47 + 7 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239377 + ... + 239855.

It is an arithmetic number, because the mean of its divisors is an integer number (2484300).

Almost surely, 2^114776064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178869600).

114776064 is an abundant number, since it is smaller than the sum of its proper divisors (242963136).

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

114776064 is a wasteful number, since it uses less digits than its factorization.

114776064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 114776064 is about 10713.3591370774. The cubic root of 114776064 is about 485.9785592330.

The spelling of 114776064 in words is "one hundred fourteen million, seven hundred seventy-six thousand, sixty-four".