22812664283136 has 2400 divisors, whose sum is σ = 90033725472768. Its totient is φ = 5591673077760.

The previous prime is 22812664283081. The next prime is 22812664283137. The reversal of 22812664283136 is 63138246621822.

22812664283136 is a `hidden beast` number, since 2 + 2 + 81 + 2 + 6 + 6 + 428 + 3 + 136 = 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 not an unprimeable number, because it can be changed into a prime (22812664283137) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 119438032801 + ... + 119438032991.

Almost surely, 2^{22812664283136} is an apocalyptic number.

22812664283136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22812664283136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45016862736384).

22812664283136 is an abundant number, since it is smaller than the sum of its proper divisors (67221061189632).

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

22812664283136 is a wasteful number, since it uses less digits than its factorization.

22812664283136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 282 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 22812664283136 in words is "twenty-two trillion, eight hundred twelve billion, six hundred sixty-four million, two hundred eighty-three thousand, one hundred thirty-six".