226882861553664 has 480 divisors, whose sum is σ = 683499597580800. Its totient is φ = 74979252633600.

The previous prime is 226882861553653. The next prime is 226882861553713. The reversal of 226882861553664 is 466355168288622.

226882861553664 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 8 + 2 + 8 + 6 + 1 + 553 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 226882861553592 and 226882861553601.

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 39 ways as a sum of consecutive naturals, for example, 39797026014 + ... + 39797031714.

It is an arithmetic number, because the mean of its divisors is an integer number (1423957494960).

Almost surely, 2^{226882861553664} is an apocalyptic number.

226882861553664 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 226882861553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341749798790400).

226882861553664 is an abundant number, since it is smaller than the sum of its proper divisors (456616736027136).

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

226882861553664 is a wasteful number, since it uses less digits than its factorization.

226882861553664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7751 (or 7722 counting only the distinct ones).

The product of its digits is 1592524800, while the sum is 72.

The spelling of 226882861553664 in words is "two hundred twenty-six trillion, eight hundred eighty-two billion, eight hundred sixty-one million, five hundred fifty-three thousand, six hundred sixty-four".