114146144688 has 40 divisors (see below), whose sum is σ = 307698306048. Its totient is φ = 36394422592.

The previous prime is 114146144663. The next prime is 114146144689. The reversal of 114146144688 is 886441641411.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (114146144689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51695520 + ... + 51697727.

Almost surely, 2^114146144688 is an apocalyptic number.

It is an amenable number.

114146144688 is an abundant number, since it is smaller than the sum of its proper divisors (193552161360).

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

114146144688 is a wasteful number, since it uses less digits than its factorization.

114146144688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103393281 (or 103393275 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The spelling of 114146144688 in words is "one hundred fourteen billion, one hundred forty-six million, one hundred forty-four thousand, six hundred eighty-eight".