226132060385344 has 189 divisors, whose sum is σ = 466725739860471. Its totient is φ = 108704439014400.

The previous prime is 226132060385321. The next prime is 226132060385353. The reversal of 226132060385344 is 443583060231622.

The square root of 226132060385344 is 15037688.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 168412910760000 + 57719149625344 = 12977400^2 + 7597312^2 .

It is a super-2 number, since 2×226132060385344² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 449566720197 + ... + 449566720699.

Almost surely, 2^{226132060385344} is an apocalyptic number.

226132060385344 is the 15037688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226132060385344

226132060385344 is an abundant number, since it is smaller than the sum of its proper divisors (240593679475127).

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

226132060385344 is an frugal number, since it uses more digits than its factorization.

226132060385344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 49.

The spelling of 226132060385344 in words is "two hundred twenty-six trillion, one hundred thirty-two billion, sixty million, three hundred eighty-five thousand, three hundred forty-four".