221827671466761 has 8 divisors (see below), whose sum is σ = 297007760960640. Its totient is φ = 147266348142032.

The previous prime is 221827671466757. The next prime is 221827671466771. The reversal of 221827671466761 is 167664176728122.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221827671466761 - 2² = 221827671466757 is a prime.

It is a super-2 number, since 2×221827671466761² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221827671466692 and 221827671466701.

It is not an unprimeable number, because it can be changed into a prime (221827671466721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154691541450 + ... + 154691542883.

It is an arithmetic number, because the mean of its divisors is an integer number (37125970120080).

Almost surely, 2^{221827671466761} is an apocalyptic number.

It is an amenable number.

221827671466761 is a deficient number, since it is larger than the sum of its proper divisors (75180089493879).

221827671466761 is a wasteful number, since it uses less digits than its factorization.

221827671466761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309383084575.

The product of its digits is 113799168, while the sum is 66.

The spelling of 221827671466761 in words is "two hundred twenty-one trillion, eight hundred twenty-seven billion, six hundred seventy-one million, four hundred sixty-six thousand, seven hundred sixty-one".