114351147 has 48 divisors (see below), whose sum is σ = 182856960. Its totient is φ = 68612544.

The previous prime is 114351143. The next prime is 114351151. The reversal of 114351147 is 741153411.

114351147 is a `hidden beast` number, since 1 + 143 + 511 + 4 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (114351143) and next prime (114351151).

It is not a de Polignac number, because 114351147 - 2² = 114351143 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114351147.

It is not an unprimeable number, because it can be changed into a prime (114351143) 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, 257908 + ... + 258350.

It is an arithmetic number, because the mean of its divisors is an integer number (3809520).

Almost surely, 2^114351147 is an apocalyptic number.

114351147 is a deficient number, since it is larger than the sum of its proper divisors (68505813).

114351147 is a wasteful number, since it uses less digits than its factorization.

114351147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 541 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 114351147 is about 10693.5095735684. The cubic root of 114351147 is about 485.3780974847.

The spelling of 114351147 in words is "one hundred fourteen million, three hundred fifty-one thousand, one hundred forty-seven".