818144712 has 320 divisors, whose sum is σ = 3010867200. Its totient is φ = 201087360.

The previous prime is 818144711. The next prime is 818144773. The reversal of 818144712 is 217441818.

818144712 is a `hidden beast` number, since 8 + 181 + 4 + 471 + 2 = 666.

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 not an unprimeable number, because it can be changed into a prime (818144711) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 947593 + ... + 948455.

It is an arithmetic number, because the mean of its divisors is an integer number (9408960).

Almost surely, 2^818144712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818144712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505433600).

818144712 is an abundant number, since it is smaller than the sum of its proper divisors (2192722488).

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

818144712 is a wasteful number, since it uses less digits than its factorization.

818144712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 905 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 818144712 is about 28603.2290484833. The cubic root of 818144712 is about 935.2837222223.

It can be divided in two parts, 818 and 144712, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 818144712 in words is "eight hundred eighteen million, one hundred forty-four thousand, seven hundred twelve".