224698181284096 has 243 divisors, whose sum is σ = 512716347765279. Its totient is φ = 98222694875136.

The previous prime is 224698181284091. The next prime is 224698181284097. The reversal of 224698181284096 is 690482181896422.

The square root of 224698181284096 is 14989936.

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 101306962698496 + 123391218585600 = 10065136^2 + 11108160^2 .

It is a super-3 number, since 3×224698181284096³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224698181284091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59240225176 + ... + 59240228968.

Almost surely, 2^{224698181284096} is an apocalyptic number.

224698181284096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

224698181284096 is the 14989936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224698181284096

224698181284096 is an abundant number, since it is smaller than the sum of its proper divisors (288018166481183).

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

224698181284096 is an frugal number, since it uses more digits than its factorization.

224698181284096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7666 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 70.

The spelling of 224698181284096 in words is "two hundred twenty-four trillion, six hundred ninety-eight billion, one hundred eighty-one million, two hundred eighty-four thousand, ninety-six".