226143368868096 has 405 divisors, whose sum is σ = 716434316209381. Its totient is φ = 70935390019584.

The previous prime is 226143368868091. The next prime is 226143368868101. The reversal of 226143368868096 is 690868863341622.

The square root of 226143368868096 is 15038064.

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

226143368868096 is a `hidden beast` number, since 2 + 2 + 61 + 43 + 368 + 8 + 6 + 80 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (226143368868091) and next prime (226143368868101).

It can be written as a sum of positive squares in only one way, i.e., 176063176454400 + 50080192413696 = 13268880^2 + 7076736^2 .

It is a super-2 number, since 2×226143368868096² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226143368868091) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36813177601 + ... + 36813183743.

Almost surely, 2^{226143368868096} is an apocalyptic number.

226143368868096 is the 15038064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226143368868096

226143368868096 is an abundant number, since it is smaller than the sum of its proper divisors (490290947341285).

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

226143368868096 is an frugal number, since it uses more digits than its factorization.

226143368868096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12348 (or 6165 counting only the distinct ones).

The product of its (nonzero) digits is 859963392, while the sum is 72.

The spelling of 226143368868096 in words is "two hundred twenty-six trillion, one hundred forty-three billion, three hundred sixty-eight million, eight hundred sixty-eight thousand, ninety-six".