221772542035776 has 168 divisors, whose sum is σ = 607258145716992. Its totient is φ = 71427885465600.

The previous prime is 221772542035697. The next prime is 221772542035789. The reversal of 221772542035776 is 677530245277122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117334641 + ... + 119209743.

It is an arithmetic number, because the mean of its divisors is an integer number (3614631819744).

Almost surely, 2^{221772542035776} 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 221772542035776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303629072858496).

221772542035776 is an abundant number, since it is smaller than the sum of its proper divisors (385485603681216).

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

221772542035776 is a wasteful number, since it uses less digits than its factorization.

221772542035776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875821 (or 1875780 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 60.

The spelling of 221772542035776 in words is "two hundred twenty-one trillion, seven hundred seventy-two billion, five hundred forty-two million, thirty-five thousand, seven hundred seventy-six".