226890306432 has 96 divisors (see below), whose sum is σ = 657884901960. Its totient is φ = 75052723200.

The previous prime is 226890306431. The next prime is 226890306437. The reversal of 226890306432 is 234603098622.

It is a happy number.

226890306432 is a `hidden beast` number, since 226 + 8 + 90 + 306 + 4 + 32 = 666.

226890306432 is digitally balanced in base 2, 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 (96).

It is a super-3 number, since 3×226890306432³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226890306431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600819 + ... + 902642.

Almost surely, 2^226890306432 is an apocalyptic number.

It is an amenable number.

226890306432 is an abundant number, since it is smaller than the sum of its proper divisors (430994595528).

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

226890306432 is a wasteful number, since it uses less digits than its factorization.

226890306432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503612 (or 1503597 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 226890306432 in words is "two hundred twenty-six billion, eight hundred ninety million, three hundred six thousand, four hundred thirty-two".