226523958624 has 144 divisors (see below), whose sum is σ = 666421112448. Its totient is φ = 72930502656.

The previous prime is 226523958607. The next prime is 226523958653. The reversal of 226523958624 is 426859325622.

226523958624 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 2 + 3 + 9 + 5 + 8 + 624 = 666.

226523958624 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 (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1382289 + ... + 1537455.

It is an arithmetic number, because the mean of its divisors is an integer number (4627924392).

Almost surely, 2^226523958624 is an apocalyptic number.

226523958624 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 226523958624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333210556224).

226523958624 is an abundant number, since it is smaller than the sum of its proper divisors (439897153824).

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

226523958624 is a wasteful number, since it uses less digits than its factorization.

226523958624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155357 (or 155346 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 226523958624 in words is "two hundred twenty-six billion, five hundred twenty-three million, nine hundred fifty-eight thousand, six hundred twenty-four".