224960980608 has 768 divisors, whose sum is σ = 819120906240. Its totient is φ = 57689210880.

The previous prime is 224960980549. The next prime is 224960980627. The reversal of 224960980608 is 806089069422.

It is a happy number.

224960980608 is a `hidden beast` number, since 2 + 2 + 496 + 0 + 98 + 0 + 60 + 8 = 666.

It is a super-2 number, since 2×224960980608² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 812133366 + ... + 812133642.

It is an arithmetic number, because the mean of its divisors is an integer number (1066563680).

Almost surely, 2^224960980608 is an apocalyptic number.

224960980608 is a gapful number since it is divisible by the number (28) 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 224960980608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409560453120).

224960980608 is an abundant number, since it is smaller than the sum of its proper divisors (594159925632).

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

224960980608 is a wasteful number, since it uses less digits than its factorization.

224960980608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 224960980608 in words is "two hundred twenty-four billion, nine hundred sixty million, nine hundred eighty thousand, six hundred eight".