220703681396736 has 720 divisors, whose sum is σ = 656093824495200. Its totient is φ = 71462830473216.

The previous prime is 220703681396717. The next prime is 220703681396773. The reversal of 220703681396736 is 637693186307022.

220703681396736 is a `hidden beast` number, since 2 + 2 + 0 + 70 + 36 + 81 + 396 + 73 + 6 = 666.

It is a super-2 number, since 2×220703681396736² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 582331612995 + ... + 582331613373.

It is an arithmetic number, because the mean of its divisors is an integer number (911241422910).

Almost surely, 2^{220703681396736} 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 220703681396736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328046912247600).

220703681396736 is an abundant number, since it is smaller than the sum of its proper divisors (435390143098464).

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

220703681396736 is a wasteful number, since it uses less digits than its factorization.

220703681396736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 220703681396736 in words is "two hundred twenty trillion, seven hundred three billion, six hundred eighty-one million, three hundred ninety-six thousand, seven hundred thirty-six".