226725159042432 has 192 divisors, whose sum is σ = 652829900626800. Its totient is φ = 75528196964352.

The previous prime is 226725159042409. The next prime is 226725159042533. The reversal of 226725159042432 is 234240951527622.

226725159042432 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 2 + 5 + 1 + 590 + 4 + 2 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 18389576044 + ... + 18389588372.

Almost surely, 2^{226725159042432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226725159042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326414950313400).

226725159042432 is an abundant number, since it is smaller than the sum of its proper divisors (426104741584368).

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

226725159042432 is a wasteful number, since it uses less digits than its factorization.

226725159042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20953 (or 20938 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 226725159042432 in words is "two hundred twenty-six trillion, seven hundred twenty-five billion, one hundred fifty-nine million, forty-two thousand, four hundred thirty-two".