221157129867296 has 192 divisors, whose sum is σ = 542424915083520. Its totient is φ = 86654660751360.

The previous prime is 221157129867263. The next prime is 221157129867299. The reversal of 221157129867296 is 692768921751122.

It is a happy number.

It is a super-2 number, since 2×221157129867296² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221157129867299) 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, 5723210 + ... + 21796086.

It is an arithmetic number, because the mean of its divisors is an integer number (2825129766060).

Almost surely, 2^{221157129867296} 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 221157129867296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271212457541760).

221157129867296 is an abundant number, since it is smaller than the sum of its proper divisors (321267785216224).

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

221157129867296 is a wasteful number, since it uses less digits than its factorization.

221157129867296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16073027 (or 16073019 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 68.

The spelling of 221157129867296 in words is "two hundred twenty-one trillion, one hundred fifty-seven billion, one hundred twenty-nine million, eight hundred sixty-seven thousand, two hundred ninety-six".