221061791370312 has 160 divisors (see below), whose sum is σ = 634294163210400. Its totient is φ = 71888362617600.

The previous prime is 221061791370281. The next prime is 221061791370317. The reversal of 221061791370312 is 213073197160122.

221061791370312 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 617 + 9 + 13 + 7 + 0 + 3 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (221061791370317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1783686987 + ... + 1783810917.

It is an arithmetic number, because the mean of its divisors is an integer number (3964338520065).

Almost surely, 2^{221061791370312} 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 221061791370312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317147081605200).

221061791370312 is an abundant number, since it is smaller than the sum of its proper divisors (413232371840088).

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

221061791370312 is a wasteful number, since it uses less digits than its factorization.

221061791370312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191129 (or 191116 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 221061791370312 in words is "two hundred twenty-one trillion, sixty-one billion, seven hundred ninety-one million, three hundred seventy thousand, three hundred twelve".