221115431296 has 128 divisors (see below), whose sum is σ = 454333108320. Its totient is φ = 107151360000.

The previous prime is 221115431291. The next prime is 221115431323. The reversal of 221115431296 is 692134511122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221115431291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202671711 + ... + 202672801.

Almost surely, 2^221115431296 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 221115431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227166554160).

221115431296 is an abundant number, since it is smaller than the sum of its proper divisors (233217677024).

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

221115431296 is a wasteful number, since it uses less digits than its factorization.

221115431296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1512 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The spelling of 221115431296 in words is "two hundred twenty-one billion, one hundred fifteen million, four hundred thirty-one thousand, two hundred ninety-six".