221626511002112 has 80 divisors (see below), whose sum is σ = 452437837125120. Its totient is φ = 108408528703488.

The previous prime is 221626511002079. The next prime is 221626511002181. The reversal of 221626511002112 is 211200115626122.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53569433 + ... + 57558119.

It is an arithmetic number, because the mean of its divisors is an integer number (5655472964064).

Almost surely, 2^{221626511002112} 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 221626511002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226218918562560).

221626511002112 is an abundant number, since it is smaller than the sum of its proper divisors (230811326123008).

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

221626511002112 is an equidigital number, since it uses as much as digits as its factorization.

221626511002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991061 (or 3991045 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

Adding to 221626511002112 its reverse (211200115626122), we get a palindrome (432826626628234).

The spelling of 221626511002112 in words is "two hundred twenty-one trillion, six hundred twenty-six billion, five hundred eleven million, two thousand, one hundred twelve".