224258969088 has 1200 divisors, whose sum is σ = 890144348544. Its totient is φ = 54822666240.

The previous prime is 224258969047. The next prime is 224258969113. The reversal of 224258969088 is 880969852422.

224258969088 is a `hidden beast` number, since 2 + 2 + 42 + 589 + 6 + 9 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13191704056 + ... + 13191704072.

Almost surely, 2^224258969088 is an apocalyptic number.

224258969088 is a gapful number since it is divisible by the number (28) 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 224258969088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445072174272).

224258969088 is an abundant number, since it is smaller than the sum of its proper divisors (665885379456).

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

224258969088 is an frugal number, since it uses more digits than its factorization.

224258969088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 224258969088 in words is "two hundred twenty-four billion, two hundred fifty-eight million, nine hundred sixty-nine thousand, eighty-eight".