224456016677664 has 192 divisors, whose sum is σ = 602516619694080. Its totient is φ = 73131490897920.

The previous prime is 224456016677609. The next prime is 224456016677701. The reversal of 224456016677664 is 466776610654422.

It is a junction number, because it is equal to n+sod(n) for n = 224456016677595 and 224456016677604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20955649269 + ... + 20955659979.

It is an arithmetic number, because the mean of its divisors is an integer number (3138107394240).

Almost surely, 2^{224456016677664} is an apocalyptic number.

224456016677664 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 224456016677664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301258309847040).

224456016677664 is an abundant number, since it is smaller than the sum of its proper divisors (378060603016416).

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

224456016677664 is a wasteful number, since it uses less digits than its factorization.

224456016677664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16383 (or 16375 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 66.

The spelling of 224456016677664 in words is "two hundred twenty-four trillion, four hundred fifty-six billion, sixteen million, six hundred seventy-seven thousand, six hundred sixty-four".