221185852416 has 495 divisors, whose sum is σ = 700332267943. Its totient is φ = 69529743360.

The previous prime is 221185852403. The next prime is 221185852429. The reversal of 221185852416 is 614258581122.

The square root of 221185852416 is 470304.

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

221185852416 is a `hidden beast` number, since 2 + 2 + 1 + 185 + 8 + 52 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (221185852403) and next prime (221185852429).

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 44 ways as a sum of consecutive naturals, for example, 3115293661 + ... + 3115293731.

Almost surely, 2^221185852416 is an apocalyptic number.

221185852416 is the 470304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221185852416

221185852416 is an abundant number, since it is smaller than the sum of its proper divisors (479146415527).

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

221185852416 is an frugal number, since it uses more digits than its factorization.

221185852416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 99 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The spelling of 221185852416 in words is "two hundred twenty-one billion, one hundred eighty-five million, eight hundred fifty-two thousand, four hundred sixteen".