22448961718848 has 448 divisors, whose sum is σ = 81539231180800. Its totient is φ = 5912181135360.

The previous prime is 22448961718831. The next prime is 22448961718853. The reversal of 22448961718848 is 84881716984422.

22448961718848 is a `hidden beast` number, since 2 + 2 + 4 + 489 + 61 + 7 + 1 + 8 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7183503 + ... + 9823473.

Almost surely, 2^{22448961718848} is an apocalyptic number.

22448961718848 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 22448961718848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40769615590400).

22448961718848 is an abundant number, since it is smaller than the sum of its proper divisors (59090269461952).

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

22448961718848 is a wasteful number, since it uses less digits than its factorization.

22448961718848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640055 (or 2640039 counting only the distinct ones).

The product of its digits is 396361728, while the sum is 72.

The spelling of 22448961718848 in words is "twenty-two trillion, four hundred forty-eight billion, nine hundred sixty-one million, seven hundred eighteen thousand, eight hundred forty-eight".