226155206923488 has 960 divisors, whose sum is σ = 729485338982400. Its totient is φ = 68481572290560.

The previous prime is 226155206923427. The next prime is 226155206923501. The reversal of 226155206923488 is 884329602551622.

226155206923488 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 5 + 520 + 6 + 9 + 23 + 4 + 88 = 666.

It is a super-2 number, since 2×226155206923488² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 104653033128 + ... + 104653035288.

It is an arithmetic number, because the mean of its divisors is an integer number (759880561440).

Almost surely, 2^{226155206923488} 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 226155206923488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364742669491200).

226155206923488 is an abundant number, since it is smaller than the sum of its proper divisors (503330132058912).

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

226155206923488 is a wasteful number, since it uses less digits than its factorization.

226155206923488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 226155206923488 in words is "two hundred twenty-six trillion, one hundred fifty-five billion, two hundred six million, nine hundred twenty-three thousand, four hundred eighty-eight".