243114116292 has 72 divisors (see below), whose sum is σ = 618839184600. Its totient is φ = 80471559168.

The previous prime is 243114116269. The next prime is 243114116303. The reversal of 243114116292 is 292611411342.

243114116292 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 14 + 11 + 629 + 2 = 666.

243114116292 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 80892036 + 243033224256 = 8994^2 + 492984^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9646684 + ... + 9671852.

It is an arithmetic number, because the mean of its divisors is an integer number (8594988675).

Almost surely, 2^243114116292 is an apocalyptic number.

It is an amenable number.

243114116292 is an abundant number, since it is smaller than the sum of its proper divisors (375725068308).

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

243114116292 is a wasteful number, since it uses less digits than its factorization.

243114116292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27045 (or 27040 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 243114116292 in words is "two hundred forty-three billion, one hundred fourteen million, one hundred sixteen thousand, two hundred ninety-two".