221752745206512 has 160 divisors (see below), whose sum is σ = 618169479412800. Its totient is φ = 68094356520960.

The previous prime is 221752745206501. The next prime is 221752745206547. The reversal of 221752745206512 is 215602547257122.

It is a super-2 number, since 2×221752745206512² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 831806614 + ... + 832073162.

It is an arithmetic number, because the mean of its divisors is an integer number (3863559246330).

Almost surely, 2^{221752745206512} 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 221752745206512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309084739706400).

221752745206512 is an abundant number, since it is smaller than the sum of its proper divisors (396416734206288).

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

221752745206512 is a wasteful number, since it uses less digits than its factorization.

221752745206512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269251 (or 269245 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 51.

The spelling of 221752745206512 in words is "two hundred twenty-one trillion, seven hundred fifty-two billion, seven hundred forty-five million, two hundred six thousand, five hundred twelve".