221657605306512 has 160 divisors (see below), whose sum is σ = 595868547495936. Its totient is φ = 70950108902400.

The previous prime is 221657605306453. The next prime is 221657605306531. The reversal of 221657605306512 is 215603506756122.

It is a super-2 number, since 2×221657605306512² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44493837 + ... + 49224147.

Almost surely, 2^{221657605306512} 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 221657605306512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297934273747968).

221657605306512 is an abundant number, since it is smaller than the sum of its proper divisors (374210942189424).

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

221657605306512 is a wasteful number, since it uses less digits than its factorization.

221657605306512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730749 (or 4730743 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 221657605306512 in words is "two hundred twenty-one trillion, six hundred fifty-seven billion, six hundred five million, three hundred six thousand, five hundred twelve".