114346080 has 288 divisors, whose sum is σ = 430938144. Its totient is φ = 28532736.

The previous prime is 114346079. The next prime is 114346081. The reversal of 114346080 is 80643411.

114346080 is a `hidden beast` number, since 11 + 43 + 4 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114346079) and next prime (114346081).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×114346080² = 26150052022732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114346081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660874 + ... + 661046.

It is an arithmetic number, because the mean of its divisors is an integer number (1496313).

Almost surely, 2^114346080 is an apocalyptic number.

114346080 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 114346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215469072).

114346080 is an abundant number, since it is smaller than the sum of its proper divisors (316592064).

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

114346080 is a wasteful number, since it uses less digits than its factorization.

114346080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114346080 is about 10693.2726515319. The cubic root of 114346080 is about 485.3709282018.

Adding to 114346080 its reverse (80643411), we get a palindrome (194989491).

The spelling of 114346080 in words is "one hundred fourteen million, three hundred forty-six thousand, eighty".