224996825088 has 768 divisors, whose sum is σ = 805109760000. Its totient is φ = 60699082752.

The previous prime is 224996825023. The next prime is 224996825089. The reversal of 224996825088 is 880528699422.

224996825088 is a `hidden beast` number, since 2 + 2 + 49 + 9 + 6 + 82 + 508 + 8 = 666.

224996825088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224996825089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130637213 + ... + 1130637411.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320000).

Almost surely, 2^224996825088 is an apocalyptic number.

224996825088 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 224996825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402554880000).

224996825088 is an abundant number, since it is smaller than the sum of its proper divisors (580112934912).

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

224996825088 is a wasteful number, since it uses less digits than its factorization.

224996825088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 361 counting only the distinct ones).

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

The spelling of 224996825088 in words is "two hundred twenty-four billion, nine hundred ninety-six million, eight hundred twenty-five thousand, eighty-eight".