114066819 has 32 divisors (see below), whose sum is σ = 174666240. Its totient is φ = 73516896.

The previous prime is 114066803. The next prime is 114066847. The reversal of 114066819 is 918660411.

It is a happy number.

It is not a de Polignac number, because 114066819 - 2⁴ = 114066803 is a prime.

It is a super-2 number, since 2×114066819² = 26022478393557522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114066119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226522 + ... + 227024.

It is an arithmetic number, because the mean of its divisors is an integer number (5458320).

Almost surely, 2^114066819 is an apocalyptic number.

114066819 is a deficient number, since it is larger than the sum of its proper divisors (60599421).

114066819 is a wasteful number, since it uses less digits than its factorization.

114066819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 114066819 is about 10680.2068800188. The cubic root of 114066819 is about 484.9754747226.

It can be divided in two parts, 11406 and 6819, that added together give a square (18225 = 135²).

The spelling of 114066819 in words is "one hundred fourteen million, sixty-six thousand, eight hundred nineteen".