225921735994824 has 192 divisors, whose sum is σ = 663629981414400. Its totient is φ = 71868926707776.

The previous prime is 225921735994733. The next prime is 225921735994831. The reversal of 225921735994824 is 428499537129522.

It is a happy number.

225921735994824 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 2 + 1 + 7 + 3 + 599 + 4 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13873647 + ... + 25383489.

It is an arithmetic number, because the mean of its divisors is an integer number (3456406153200).

Almost surely, 2^{225921735994824} is an apocalyptic number.

225921735994824 is a gapful number since it is divisible by the number (24) 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 225921735994824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331814990707200).

225921735994824 is an abundant number, since it is smaller than the sum of its proper divisors (437708245419576).

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

225921735994824 is a wasteful number, since it uses less digits than its factorization.

225921735994824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11510326 (or 11510310 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 225921735994824 in words is "two hundred twenty-five trillion, nine hundred twenty-one billion, seven hundred thirty-five million, nine hundred ninety-four thousand, eight hundred twenty-four".