221642308644480 has 640 divisors, whose sum is σ = 866984561586000. Its totient is φ = 53709664813056.

The previous prime is 221642308644469. The next prime is 221642308644551. The reversal of 221642308644480 is 84446803246122.

221642308644480 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 42 + 3 + 0 + 86 + 44 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 71731278402624 + 149911030241856 = 8469432^2 + 12243816^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21220906 + ... + 29893334.

Almost surely, 2^{221642308644480} is an apocalyptic number.

221642308644480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221642308644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433492280793000).

221642308644480 is an abundant number, since it is smaller than the sum of its proper divisors (645342252941520).

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

221642308644480 is a wasteful number, since it uses less digits than its factorization.

221642308644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8672506 (or 8672485 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 221642308644480 in words is "two hundred twenty-one trillion, six hundred forty-two billion, three hundred eight million, six hundred forty-four thousand, four hundred eighty".