114556064 has 96 divisors (see below), whose sum is σ = 277603200. Its totient is φ = 45416448.

The previous prime is 114556063. The next prime is 114556087. The reversal of 114556064 is 460655411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 114556064.

It is not an unprimeable number, because it can be changed into a prime (114556063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254912 + ... + 255360.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2^114556064 is an apocalyptic number.

114556064 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 114556064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138801600).

114556064 is an abundant number, since it is smaller than the sum of its proper divisors (163047136).

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

114556064 is a wasteful number, since it uses less digits than its factorization.

114556064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 114556064 is about 10703.0866575956. The cubic root of 114556064 is about 485.6678566264.

The spelling of 114556064 in words is "one hundred fourteen million, five hundred fifty-six thousand, sixty-four".