221441101357716 has 96 divisors (see below), whose sum is σ = 576523013337600. Its totient is φ = 73503028851840.

The previous prime is 221441101357711. The next prime is 221441101357793. The reversal of 221441101357716 is 617753101144122.

221441101357716 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 41 + 10 + 13 + 577 + 16 = 666.

It is a super-2 number, since 2×221441101357716² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221441101357711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1387908906 + ... + 1388068446.

It is an arithmetic number, because the mean of its divisors is an integer number (6005448055600).

Almost surely, 2^{221441101357716} 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 221441101357716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288261506668800).

221441101357716 is an abundant number, since it is smaller than the sum of its proper divisors (355081911979884).

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

221441101357716 is a wasteful number, since it uses less digits than its factorization.

221441101357716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213566 (or 213558 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 221441101357716 in words is "two hundred twenty-one trillion, four hundred forty-one billion, one hundred one million, three hundred fifty-seven thousand, seven hundred sixteen".