221887513765344 has 288 divisors, whose sum is σ = 713249345128320. Its totient is φ = 60056453624832.

The previous prime is 221887513765327. The next prime is 221887513765369. The reversal of 221887513765344 is 443567315788122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1912320259 + ... + 1912436285.

It is an arithmetic number, because the mean of its divisors is an integer number (2476560226140).

Almost surely, 2^{221887513765344} is an apocalyptic number.

221887513765344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221887513765344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356624672564160).

221887513765344 is an abundant number, since it is smaller than the sum of its proper divisors (491361831362976).

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

221887513765344 is a wasteful number, since it uses less digits than its factorization.

221887513765344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137470 (or 137455 counting only the distinct ones).

The product of its digits is 270950400, while the sum is 66.

The spelling of 221887513765344 in words is "two hundred twenty-one trillion, eight hundred eighty-seven billion, five hundred thirteen million, seven hundred sixty-five thousand, three hundred forty-four".