226838891664000 has 5760 divisors, whose sum is σ = 1099523724258960. Its totient is φ = 46162980864000.

The previous prime is 226838891663981. The next prime is 226838891664071. The reversal of 226838891664000 is 466198838622.

226838891664000 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 3 + 88 + 91 + 66 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 611061143616 + 226227830520384 = 781704^2 + 15040872^2 .

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 407251151722 + ... + 407251152278.

Almost surely, 2^{226838891664000} is an apocalyptic number.

226838891664000 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 226838891664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549761862129480).

226838891664000 is an abundant number, since it is smaller than the sum of its proper divisors (872684832594960).

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

226838891664000 is a wasteful number, since it uses less digits than its factorization.

226838891664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 226838891664000 in words is "two hundred twenty-six trillion, eight hundred thirty-eight billion, eight hundred ninety-one million, six hundred sixty-four thousand".