114516006 has 32 divisors (see below), whose sum is σ = 250259328. Its totient is φ = 34645440.

The previous prime is 114515977. The next prime is 114516007. The reversal of 114516006 is 600615411.

It is a super-2 number, since 2×114516006² = 26227831260384072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114516007) 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, 58906 + ... + 60818.

It is an arithmetic number, because the mean of its divisors is an integer number (7820604).

Almost surely, 2^114516006 is an apocalyptic number.

114516006 is an abundant number, since it is smaller than the sum of its proper divisors (135743322).

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

114516006 is a wasteful number, since it uses less digits than its factorization.

114516006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 114516006 is about 10701.2151646437. The cubic root of 114516006 is about 485.6112405312.

The spelling of 114516006 in words is "one hundred fourteen million, five hundred sixteen thousand, six".