224201364480 has 528 divisors, whose sum is σ = 831755119104. Its totient is φ = 57848463360.

The previous prime is 224201364467. The next prime is 224201364551. The reversal of 224201364480 is 84463102422.

224201364480 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 0 + 1 + 3 + 644 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38566054 + ... + 38571866.

Almost surely, 2^224201364480 is an apocalyptic number.

224201364480 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 224201364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415877559552).

224201364480 is an abundant number, since it is smaller than the sum of its proper divisors (607553754624).

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

224201364480 is an equidigital number, since it uses as much as digits as its factorization.

224201364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5884 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 224201364480 in words is "two hundred twenty-four billion, two hundred one million, three hundred sixty-four thousand, four hundred eighty".