22824799861248 has 480 divisors, whose sum is σ = 85170353748480. Its totient is φ = 5928516956160.

The previous prime is 22824799861229. The next prime is 22824799861289. The reversal of 22824799861248 is 84216899742822.

22824799861248 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 479 + 98 + 61 + 2 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8388763 + ... + 10771301.

It is an arithmetic number, because the mean of its divisors is an integer number (177438236976).

Almost surely, 2^{22824799861248} is an apocalyptic number.

22824799861248 is a gapful number since it is divisible by the number (28) 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 22824799861248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42585176874240).

22824799861248 is an abundant number, since it is smaller than the sum of its proper divisors (62345553887232).

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

22824799861248 is an equidigital number, since it uses as much as digits as its factorization.

22824799861248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382590 (or 2382562 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 72.

The spelling of 22824799861248 in words is "twenty-two trillion, eight hundred twenty-four billion, seven hundred ninety-nine million, eight hundred sixty-one thousand, two hundred forty-eight".