221253963153664 has 243 divisors, whose sum is σ = 522836199875871. Its totient is φ = 93174544512000.

The previous prime is 221253963153647. The next prime is 221253963153673. The reversal of 221253963153664 is 466351369352122.

The square root of 221253963153664 is 14874608.

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

It is a super-2 number, since 2×221253963153664² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221253963153599 and 221253963153608.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 98291408539 + ... + 98291410789.

Almost surely, 2^{221253963153664} is an apocalyptic number.

221253963153664 is the 14874608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221253963153664

221253963153664 is an abundant number, since it is smaller than the sum of its proper divisors (301582236722207).

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

221253963153664 is an frugal number, since it uses more digits than its factorization.

221253963153664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650 (or 2319 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 58.

The spelling of 221253963153664 in words is "two hundred twenty-one trillion, two hundred fifty-three billion, nine hundred sixty-three million, one hundred fifty-three thousand, six hundred sixty-four".