228605126757336 has 512 divisors, whose sum is σ = 755645074636800. Its totient is φ = 62660829450240.

The previous prime is 228605126757331. The next prime is 228605126757353. The reversal of 228605126757336 is 633757621506822.

228605126757336 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 0 + 5 + 1 + 26 + 7 + 573 + 36 = 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 (228605126757331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7756410696 + ... + 7756440168.

It is an arithmetic number, because the mean of its divisors is an integer number (1475869286400).

Almost surely, 2^{228605126757336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228605126757336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377822537318400).

228605126757336 is an abundant number, since it is smaller than the sum of its proper divisors (527039947879464).

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

228605126757336 is a wasteful number, since it uses less digits than its factorization.

228605126757336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30956 (or 30946 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 228605126757336 in words is "two hundred twenty-eight trillion, six hundred five billion, one hundred twenty-six million, seven hundred fifty-seven thousand, three hundred thirty-six".