221589835822368 has 384 divisors, whose sum is σ = 700597311240960. Its totient is φ = 67733404139520.

The previous prime is 221589835822357. The next prime is 221589835822379. The reversal of 221589835822368 is 863228538985122.

221589835822368 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 8 + 9 + 8 + 3 + 582 + 2 + 36 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (221589835822357) and next prime (221589835822379).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 221589835822296 and 221589835822305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4359147480 + ... + 4359198312.

It is an arithmetic number, because the mean of its divisors is an integer number (1824472164690).

Almost surely, 2^{221589835822368} 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 221589835822368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350298655620480).

221589835822368 is an abundant number, since it is smaller than the sum of its proper divisors (479007475418592).

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

221589835822368 is a wasteful number, since it uses less digits than its factorization.

221589835822368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53409 (or 53395 counting only the distinct ones).

The product of its digits is 796262400, while the sum is 72.

The spelling of 221589835822368 in words is "two hundred twenty-one trillion, five hundred eighty-nine billion, eight hundred thirty-five million, eight hundred twenty-two thousand, three hundred sixty-eight".