21968314797744 has 900 divisors, whose sum is σ = 77977611905336. Its totient is φ = 5768935022592.

The previous prime is 21968314797679. The next prime is 21968314797827. The reversal of 21968314797744 is 44779741386912.

21968314797744 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 83 + 1 + 479 + 7 + 74 + 4 = 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 179 ways as a sum of consecutive naturals, for example, 4296558132 + ... + 4296563244.

Almost surely, 2^{21968314797744} is an apocalyptic number.

21968314797744 is a gapful number since it is divisible by the number (24) 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 21968314797744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38988805952668).

21968314797744 is an abundant number, since it is smaller than the sum of its proper divisors (56009297107592).

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

21968314797744 is a wasteful number, since it uses less digits than its factorization.

21968314797744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232 (or 5185 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 21968314797744 in words is "twenty-one trillion, nine hundred sixty-eight billion, three hundred fourteen million, seven hundred ninety-seven thousand, seven hundred forty-four".