224463972096 has 864 divisors, whose sum is σ = 832849221120. Its totient is φ = 58381959168.

The previous prime is 224463972091. The next prime is 224463972097. The reversal of 224463972096 is 690279364422.

224463972096 is a `hidden beast` number, since 2 + 2 + 4 + 46 + 397 + 209 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×224463972096² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224463972091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 793158771 + ... + 793159053.

Almost surely, 2^224463972096 is an apocalyptic number.

224463972096 is a gapful number since it is divisible by the number (26) 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 224463972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416424610560).

224463972096 is an abundant number, since it is smaller than the sum of its proper divisors (608385249024).

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

224463972096 is a wasteful number, since it uses less digits than its factorization.

224463972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 224463972096 in words is "two hundred twenty-four billion, four hundred sixty-three million, nine hundred seventy-two thousand, ninety-six".