226920258432 has 768 divisors, whose sum is σ = 828910817280. Its totient is φ = 60316876800.

The previous prime is 226920258371. The next prime is 226920258451. The reversal of 226920258432 is 234852029622.

226920258432 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 202 + 5 + 8 + 432 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373838673 + ... + 373839279.

It is an arithmetic number, because the mean of its divisors is an integer number (1079310960).

Almost surely, 2^226920258432 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 226920258432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414455408640).

226920258432 is an abundant number, since it is smaller than the sum of its proper divisors (601990558848).

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

226920258432 is a wasteful number, since it uses less digits than its factorization.

226920258432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 226920258432 in words is "two hundred twenty-six billion, nine hundred twenty million, two hundred fifty-eight thousand, four hundred thirty-two".