226417032332064 has 144 divisors (see below), whose sum is σ = 740542332898368. Its totient is φ = 64278538661376.

The previous prime is 226417032332011. The next prime is 226417032332147. The reversal of 226417032332064 is 460233230714622.

226417032332064 is a `hidden beast` number, since 2 + 2 + 6 + 417 + 0 + 3 + 23 + 3 + 206 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357358762 + ... + 357991785.

It is an arithmetic number, because the mean of its divisors is an integer number (5142655089572).

Almost surely, 2^{226417032332064} is an apocalyptic number.

226417032332064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226417032332064 is an abundant number, since it is smaller than the sum of its proper divisors (514125300566304).

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

226417032332064 is a wasteful number, since it uses less digits than its factorization.

226417032332064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715350727 (or 715350716 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 226417032332064 in words is "two hundred twenty-six trillion, four hundred seventeen billion, thirty-two million, three hundred thirty-two thousand, sixty-four".