221128617095827 has 48 divisors (see below), whose sum is σ = 261841193627520. Its totient is φ = 186164802690048.

The previous prime is 221128617095761. The next prime is 221128617095851. The reversal of 221128617095827 is 728590716821122.

221128617095827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221128617095827 - 2¹⁵ = 221128617063059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221128617093827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1163170393 + ... + 1163360485.

It is an arithmetic number, because the mean of its divisors is an integer number (5455024867240).

Almost surely, 2^{221128617095827} is an apocalyptic number.

221128617095827 is a deficient number, since it is larger than the sum of its proper divisors (40712576531693).

221128617095827 is a wasteful number, since it uses less digits than its factorization.

221128617095827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191532 (or 191525 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 61.

The spelling of 221128617095827 in words is "two hundred twenty-one trillion, one hundred twenty-eight billion, six hundred seventeen million, ninety-five thousand, eight hundred twenty-seven".