221620863468096 has 343 divisors, whose sum is σ = 675850887788917. Its totient is φ = 72071825518080.

The previous prime is 221620863468049. The next prime is 221620863468101. The reversal of 221620863468096 is 690864368026122.

It is a happy number.

The square root of 221620863468096 is 14886936.

The cubic root of 221620863468096 is 60516.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

221620863468096 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 2 + 0 + 86 + 3 + 468 + 0 + 96 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 84157432197696 + 137463431270400 = 9173736^2 + 11724480^2 .

It is a super-3 number, since 3×221620863468096³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 5405386913836 + ... + 5405386913876.

Almost surely, 2^{221620863468096} is an apocalyptic number.

221620863468096 is the 14886936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221620863468096

221620863468096 is an abundant number, since it is smaller than the sum of its proper divisors (454230024320821).

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

221620863468096 is an frugal number, since it uses more digits than its factorization.

221620863468096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 221620863468096 in words is "two hundred twenty-one trillion, six hundred twenty billion, eight hundred sixty-three million, four hundred sixty-eight thousand, ninety-six".