224257696464000 has 512 divisors, whose sum is σ = 809525609568000. Its totient is φ = 54700963430400.

The previous prime is 224257696463953. The next prime is 224257696464001. The reversal of 224257696464000 is 464696752422.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (224257696464001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22208404 + ... + 30687596.

Almost surely, 2^{224257696464000} is an apocalyptic number.

224257696464000 is a gapful number since it is divisible by the number (20) 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 224257696464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404762804784000).

224257696464000 is an abundant number, since it is smaller than the sum of its proper divisors (585267913104000).

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

224257696464000 is a wasteful number, since it uses less digits than its factorization.

224257696464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8479273 (or 8479251 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 224257696464000 in words is "two hundred twenty-four trillion, two hundred fifty-seven billion, six hundred ninety-six million, four hundred sixty-four thousand".