6221223117824 has 352 divisors, whose sum is σ = 15110955310080. Its totient is φ = 2521232179200.

The previous prime is 6221223117817. The next prime is 6221223117841. The reversal of 6221223117824 is 4287113221226.

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3218427962 + ... + 3218429894.

Almost surely, 2^{6221223117824} is an apocalyptic number.

6221223117824 is a gapful number since it is divisible by the number (64) 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 6221223117824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555477655040).

6221223117824 is an abundant number, since it is smaller than the sum of its proper divisors (8889732192256).

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

6221223117824 is a wasteful number, since it uses less digits than its factorization.

6221223117824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2699 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The spelling of 6221223117824 in words is "six trillion, two hundred twenty-one billion, two hundred twenty-three million, one hundred seventeen thousand, eight hundred twenty-four".