221041962801 has 63 divisors (see below), whose sum is σ = 364508842537. Its totient is φ = 133880198760.

The previous prime is 221041962793. The next prime is 221041962803. The reversal of 221041962801 is 108269140122.

The square root of 221041962801 is 470151.

It is a perfect power (a square), and thus also a powerful number.

221041962801 is a `hidden beast` number, since 2 + 2 + 10 + 4 + 19 + 628 + 0 + 1 = 666.

It is not a de Polignac number, because 221041962801 - 2³ = 221041962793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221041962803) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 139634056 + ... + 139635638.

Almost surely, 2^221041962801 is an apocalyptic number.

221041962801 is the 470151-st square number.

221041962801 is the 235076-th centered octagonal number.

It is an amenable number.

221041962801 is a deficient number, since it is larger than the sum of its proper divisors (143466879736).

221041962801 is an frugal number, since it uses more digits than its factorization.

221041962801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 221041962801 by its sum of digits (36), we get a square (7957510660836 = 2820906²).

The spelling of 221041962801 in words is "two hundred twenty-one billion, forty-one million, nine hundred sixty-two thousand, eight hundred one".