224424488160 has 384 divisors, whose sum is σ = 833423592960. Its totient is φ = 56208826368.

The previous prime is 224424488147. The next prime is 224424488201. The reversal of 224424488160 is 61884424422.

224424488160 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 2 + 4 + 488 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38406199 + ... + 38412041.

It is an arithmetic number, because the mean of its divisors is an integer number (2170373940).

Almost surely, 2^224424488160 is an apocalyptic number.

224424488160 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 224424488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416711796480).

224424488160 is an abundant number, since it is smaller than the sum of its proper divisors (608999104800).

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

224424488160 is a wasteful number, since it uses less digits than its factorization.

224424488160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6407 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 224424488160 in words is "two hundred twenty-four billion, four hundred twenty-four million, four hundred eighty-eight thousand, one hundred sixty".