114546006 has 48 divisors (see below), whose sum is σ = 256196304. Its totient is φ = 36960192.

The previous prime is 114546001. The next prime is 114546011. The reversal of 114546006 is 600645411.

114546006 is a `hidden beast` number, since 1 + 1 + 4 + 54 + 600 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (114546001) and next prime (114546011).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114546001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194845 + ... + 195431.

It is an arithmetic number, because the mean of its divisors is an integer number (5337423).

Almost surely, 2^114546006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114546006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128098152).

114546006 is an abundant number, since it is smaller than the sum of its proper divisors (141650298).

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

114546006 is a wasteful number, since it uses less digits than its factorization.

114546006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 114546006 is about 10702.6167828247. The cubic root of 114546006 is about 485.6536423628.

The spelling of 114546006 in words is "one hundred fourteen million, five hundred forty-six thousand, six".