220857043968 has 264 divisors, whose sum is σ = 698260292496. Its totient is φ = 66679603200.

The previous prime is 220857043949. The next prime is 220857043987. The reversal of 220857043968 is 869340758022.

220857043968 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 570 + 4 + 3 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (220857043949) and next prime (220857043987).

It is a tau number, because it is divible by the number of its divisors (264).

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, 28482780 + ... + 28490532.

Almost surely, 2^220857043968 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 220857043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349130146248).

220857043968 is an abundant number, since it is smaller than the sum of its proper divisors (477403248528).

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

220857043968 is a wasteful number, since it uses less digits than its factorization.

220857043968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8071 (or 8050 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 220857043968 in words is "two hundred twenty billion, eight hundred fifty-seven million, forty-three thousand, nine hundred sixty-eight".