221647614552261 has 32 divisors (see below), whose sum is σ = 329133692289920. Its totient is φ = 147420008854272.

The previous prime is 221647614552239. The next prime is 221647614552277. The reversal of 221647614552261 is 162255416746122.

221647614552261 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 4 + 7 + 61 + 4 + 552 + 26 + 1 = 666.

It is not a de Polignac number, because 221647614552261 - 2⁹ = 221647614551749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221647614552198 and 221647614552207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221647614502261) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 495159030 + ... + 495606456.

It is an arithmetic number, because the mean of its divisors is an integer number (10285427884060).

Almost surely, 2^{221647614552261} is an apocalyptic number.

It is an amenable number.

221647614552261 is a deficient number, since it is larger than the sum of its proper divisors (107486077737659).

221647614552261 is a wasteful number, since it uses less digits than its factorization.

221647614552261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490242 (or 490236 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 221647614552261 in words is "two hundred twenty-one trillion, six hundred forty-seven billion, six hundred fourteen million, five hundred fifty-two thousand, two hundred sixty-one".