221842916352 has 132 divisors (see below), whose sum is σ = 657880228876. Its totient is φ = 71948943360.

The previous prime is 221842916341. The next prime is 221842916353. The reversal of 221842916352 is 253619248122.

221842916352 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 4 + 2 + 9 + 1 + 635 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115556484096 + 106286432256 = 339936^2 + 326016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221842916298 and 221842916307.

It is not an unprimeable number, because it can be changed into a prime (221842916353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15702 + ... + 666282.

Almost surely, 2^221842916352 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 221842916352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328940114438).

221842916352 is an abundant number, since it is smaller than the sum of its proper divisors (436037312524).

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

221842916352 is a wasteful number, since it uses less digits than its factorization.

221842916352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650644 (or 650623 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 221842916352 in words is "two hundred twenty-one billion, eight hundred forty-two million, nine hundred sixteen thousand, three hundred fifty-two".