224493617664 has 240 divisors, whose sum is σ = 690073832448. Its totient is φ = 72807247872.

The previous prime is 224493617629. The next prime is 224493617671. The reversal of 224493617664 is 466716394422.

224493617664 is a `hidden beast` number, since 2 + 24 + 493 + 6 + 1 + 76 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 224493617664.

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 23 ways as a sum of consecutive naturals, for example, 4579009 + ... + 4627775.

Almost surely, 2^224493617664 is an apocalyptic number.

224493617664 is a gapful number since it is divisible by the number (24) 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 224493617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345036916224).

224493617664 is an abundant number, since it is smaller than the sum of its proper divisors (465580214784).

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

224493617664 is an frugal number, since it uses more digits than its factorization.

224493617664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48837 (or 48809 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 224493617664 in words is "two hundred twenty-four billion, four hundred ninety-three million, six hundred seventeen thousand, six hundred sixty-four".