6223971456 has 192 divisors, whose sum is σ = 19047618720. Its totient is φ = 1943986176.

The previous prime is 6223971443. The next prime is 6223971469. The reversal of 6223971456 is 6541793226.

6223971456 is a `hidden beast` number, since 622 + 3 + 9 + 7 + 14 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6223971443) and next prime (6223971469).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5541711 + ... + 5542833.

Almost surely, 2^6223971456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6223971456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9523809360).

6223971456 is an abundant number, since it is smaller than the sum of its proper divisors (12823647264).

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

6223971456 is a wasteful number, since it uses less digits than its factorization.

6223971456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1428 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 6223971456 is about 78892.1507882755. The cubic root of 6223971456 is about 1839.4551253680.

The spelling of 6223971456 in words is "six billion, two hundred twenty-three million, nine hundred seventy-one thousand, four hundred fifty-six".