226558464000 has 1248 divisors, whose sum is σ = 881004563712. Its totient is φ = 51544064000.

The previous prime is 226558463993. The next prime is 226558464017. The reversal of 226558464000 is 464855622.

It is a happy number.

It is a super-2 number, since 2×226558464000² (a number of 24 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 95 ways as a sum of consecutive naturals, for example, 4274687974 + ... + 4274688026.

It is an arithmetic number, because the mean of its divisors is an integer number (705933144).

Almost surely, 2^226558464000 is an apocalyptic number.

226558464000 is a gapful number since it is divisible by the number (20) 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 226558464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440502281856).

226558464000 is an abundant number, since it is smaller than the sum of its proper divisors (654446099712).

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

226558464000 is a wasteful number, since it uses less digits than its factorization.

226558464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 226558464000 in words is "two hundred twenty-six billion, five hundred fifty-eight million, four hundred sixty-four thousand".