221397802416 has 320 divisors, whose sum is σ = 731657456640. Its totient is φ = 62790266880.

The previous prime is 221397802411. The next prime is 221397802433. The reversal of 221397802416 is 614208793122.

221397802416 is a `hidden beast` number, since 22 + 139 + 7 + 80 + 2 + 416 = 666.

221397802416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221397802411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373351816 + ... + 373352408.

It is an arithmetic number, because the mean of its divisors is an integer number (2286429552).

Almost surely, 2^221397802416 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 221397802416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365828728320).

221397802416 is an abundant number, since it is smaller than the sum of its proper divisors (510259654224).

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

221397802416 is a wasteful number, since it uses less digits than its factorization.

221397802416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 221397802416 in words is "two hundred twenty-one billion, three hundred ninety-seven million, eight hundred two thousand, four hundred sixteen".