226225778688 has 1040 divisors, whose sum is σ = 852514037760. Its totient is φ = 58190856192.

The previous prime is 226225778687. The next prime is 226225778741. The reversal of 226225778688 is 886877522622.

226225778688 is a `hidden beast` number, since 226 + 2 + 257 + 7 + 86 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226225778687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1781305281 + ... + 1781305407.

Almost surely, 2^226225778688 is an apocalyptic number.

226225778688 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 226225778688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426257018880).

226225778688 is an abundant number, since it is smaller than the sum of its proper divisors (626288259072).

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

226225778688 is a wasteful number, since it uses less digits than its factorization.

226225778688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 211 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The spelling of 226225778688 in words is "two hundred twenty-six billion, two hundred twenty-five million, seven hundred seventy-eight thousand, six hundred eighty-eight".