2823166131984 has 225 divisors, whose sum is σ = 8983532353719. Its totient is φ = 855303261120.

The previous prime is 2823166131971. The next prime is 2823166132043. The reversal of 2823166131984 is 4891316613282.

It is a happy number.

The square root of 2823166131984 is 1680228.

It is a perfect power (a square), and thus also a powerful number.

2823166131984 is a `hidden beast` number, since 2 + 8 + 2 + 3 + 1 + 6 + 613 + 19 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2823166131984.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 665368167 + ... + 665372409.

Almost surely, 2^{2823166131984} is an apocalyptic number.

2823166131984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2823166131984 is the 1680228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2823166131984

2823166131984 is an abundant number, since it is smaller than the sum of its proper divisors (6160366221735).

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

2823166131984 is an frugal number, since it uses more digits than its factorization.

2823166131984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8528 (or 4259 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 2823166131984 in words is "two trillion, eight hundred twenty-three billion, one hundred sixty-six million, one hundred thirty-one thousand, nine hundred eighty-four".