114477168 has 80 divisors (see below), whose sum is σ = 319979520. Its totient is φ = 35058432.

The previous prime is 114477161. The next prime is 114477173. The reversal of 114477168 is 861774411.

114477168 = T₁₁₇ + T₁₁₈ + ... + T₈₈₂.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114477161) 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, 238753 + ... + 239231.

It is an arithmetic number, because the mean of its divisors is an integer number (3999744).

Almost surely, 2^114477168 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 114477168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

114477168 is an abundant number, since it is smaller than the sum of its proper divisors (205502352).

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

114477168 is a wasteful number, since it uses less digits than its factorization.

114477168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 880 counting only the distinct ones).

The product of its digits is 37632, while the sum is 39.

The square root of 114477168 is about 10699.4003570294. The cubic root of 114477168 is about 485.5563361192.

The spelling of 114477168 in words is "one hundred fourteen million, four hundred seventy-seven thousand, one hundred sixty-eight".