224669135520 has 144 divisors (see below), whose sum is σ = 767052697320. Its totient is φ = 59882913792.

The previous prime is 224669135473. The next prime is 224669135549. The reversal of 224669135520 is 25531966422.

224669135520 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 6 + 91 + 3 + 552 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81848632464 + 142820503056 = 286092^2 + 377916^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3040776 + ... + 3113784.

Almost surely, 2^224669135520 is an apocalyptic number.

224669135520 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 224669135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383526348660).

224669135520 is an abundant number, since it is smaller than the sum of its proper divisors (542383561800).

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

224669135520 is a wasteful number, since it uses less digits than its factorization.

224669135520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75167 (or 75156 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 224669135520 in words is "two hundred twenty-four billion, six hundred sixty-nine million, one hundred thirty-five thousand, five hundred twenty".