221656434032352 has 192 divisors, whose sum is σ = 638085815136000. Its totient is φ = 66815053025280.

The previous prime is 221656434032351. The next prime is 221656434032381. The reversal of 221656434032352 is 253230434656122.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221656434032351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133468599 + ... + 1133664137.

It is an arithmetic number, because the mean of its divisors is an integer number (3323363620500).

Almost surely, 2^{221656434032352} is an apocalyptic number.

221656434032352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221656434032352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319042907568000).

221656434032352 is an abundant number, since it is smaller than the sum of its proper divisors (416429381103648).

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

221656434032352 is a wasteful number, since it uses less digits than its factorization.

221656434032352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201209 (or 201201 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 48.

Adding to 221656434032352 its reverse (253230434656122), we get a palindrome (474886868688474).

The spelling of 221656434032352 in words is "two hundred twenty-one trillion, six hundred fifty-six billion, four hundred thirty-four million, thirty-two thousand, three hundred fifty-two".