220334360944896 has 405 divisors, whose sum is σ = 722231014380799. Its totient is φ = 66760863206400.

The previous prime is 220334360944861. The next prime is 220334360944897. The reversal of 220334360944896 is 698449063433022.

The square root of 220334360944896 is 14843664.

It is a perfect power (a square), and thus also a powerful number.

220334360944896 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 3 + 4 + 3 + 60 + 94 + 489 + 6 = 666.

It is a super-2 number, since 2×220334360944896² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220334360944897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23512359091 + ... + 23512368461.

Almost surely, 2^{220334360944896} is an apocalyptic number.

220334360944896 is the 14843664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220334360944896

220334360944896 is an abundant number, since it is smaller than the sum of its proper divisors (501896653435903).

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

220334360944896 is an frugal number, since it uses more digits than its factorization.

220334360944896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18792 (or 9387 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 63.

The spelling of 220334360944896 in words is "two hundred twenty trillion, three hundred thirty-four billion, three hundred sixty million, nine hundred forty-four thousand, eight hundred ninety-six".