224781139968 has 416 divisors, whose sum is σ = 773094101760. Its totient is φ = 56371445760.

The previous prime is 224781139963. The next prime is 224781139987. The reversal of 224781139968 is 869931187422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224781139963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7751073778 + ... + 7751073806.

Almost surely, 2^224781139968 is an apocalyptic number.

224781139968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

224781139968 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224781139968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386547050880).

224781139968 is an abundant number, since it is smaller than the sum of its proper divisors (548312961792).

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

224781139968 is an frugal number, since it uses more digits than its factorization.

224781139968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 52 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 60.

The spelling of 224781139968 in words is "two hundred twenty-four billion, seven hundred eighty-one million, one hundred thirty-nine thousand, nine hundred sixty-eight".