114711840 has 144 divisors (see below), whose sum is σ = 402220728. Its totient is φ = 29749248.

The previous prime is 114711823. The next prime is 114711841. The reversal of 114711840 is 48117411.

114711840 is a `hidden beast` number, since 11 + 471 + 184 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89189136 + 25522704 = 9444^2 + 5052^2 .

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

It is not an unprimeable number, because it can be changed into a prime (114711841) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 52204 + ... + 54356.

Almost surely, 2^114711840 is an apocalyptic number.

114711840 is a gapful number since it is divisible by the number (10) 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 114711840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201110364).

114711840 is an abundant number, since it is smaller than the sum of its proper divisors (287508888).

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

114711840 is a wasteful number, since it uses less digits than its factorization.

114711840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 114711840 is about 10710.3613384423. The cubic root of 114711840 is about 485.8878977330.

The spelling of 114711840 in words is "one hundred fourteen million, seven hundred eleven thousand, eight hundred forty".