226655633288448 has 648 divisors, whose sum is σ = 820631531210400. Its totient is φ = 59634481471488.

The previous prime is 226655633288363. The next prime is 226655633288471. The reversal of 226655633288448 is 844882336556622.

226655633288448 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 556 + 3 + 3 + 28 + 8 + 4 + 48 = 666.

It is a super-2 number, since 2×226655633288448² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 614760223 + ... + 615128801.

Almost surely, 2^{226655633288448} is an apocalyptic number.

226655633288448 is a gapful number since it is divisible by the number (28) 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 226655633288448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410315765605200).

226655633288448 is an abundant number, since it is smaller than the sum of its proper divisors (593975897921952).

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

226655633288448 is a wasteful number, since it uses less digits than its factorization.

226655633288448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369047 (or 369023 counting only the distinct ones).

The product of its digits is 3185049600, while the sum is 72.

The spelling of 226655633288448 in words is "two hundred twenty-six trillion, six hundred fifty-five billion, six hundred thirty-three million, two hundred eighty-eight thousand, four hundred forty-eight".