220768541908992 has 3136 divisors, whose sum is σ = 903029936652288. Its totient is φ = 52171112448000.

The previous prime is 220768541908979. The next prime is 220768541909021. The reversal of 220768541908992 is 299809145867022.

220768541908992 is a `hidden beast` number, since 2 + 2 + 0 + 76 + 8 + 541 + 9 + 0 + 8 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×220768541908992² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 220768541908992.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 242336489017 + ... + 242336489927.

Almost surely, 2^{220768541908992} is an apocalyptic number.

220768541908992 is a gapful number since it is divisible by the number (22) 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 220768541908992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451514968326144).

220768541908992 is an abundant number, since it is smaller than the sum of its proper divisors (682261394743296).

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

220768541908992 is an equidigital number, since it uses as much as digits as its factorization.

220768541908992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 220768541908992 in words is "two hundred twenty trillion, seven hundred sixty-eight billion, five hundred forty-one million, nine hundred eight thousand, nine hundred ninety-two".