226120077707328 has 224 divisors, whose sum is σ = 759835296907520. Its totient is φ = 64595557969920.

The previous prime is 226120077707327. The next prime is 226120077707333. The reversal of 226120077707328 is 823707770021622.

226120077707328 is a `hidden beast` number, since 226 + 1 + 20 + 0 + 7 + 7 + 70 + 7 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×226120077707328³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (226120077707323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75473250 + ... + 78412062.

Almost surely, 2^{226120077707328} is an apocalyptic number.

226120077707328 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 226120077707328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379917648453760).

226120077707328 is an abundant number, since it is smaller than the sum of its proper divisors (533715219200192).

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

226120077707328 is a wasteful number, since it uses less digits than its factorization.

226120077707328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945202 (or 2945186 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 226120077707328 in words is "two hundred twenty-six trillion, one hundred twenty billion, seventy-seven million, seven hundred seven thousand, three hundred twenty-eight".