228690237275136 has 1408 divisors, whose sum is σ = 850117074616320. Its totient is φ = 59866351534080.

The previous prime is 228690237275113. The next prime is 228690237275147. The reversal of 228690237275136 is 631572732096822.

228690237275136 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 90 + 2 + 3 + 7 + 27 + 513 + 6 = 666.

228690237275136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27919692801 + ... + 27919700991.

Almost surely, 2^{228690237275136} is an apocalyptic number.

228690237275136 is a gapful number since it is divisible by the number (26) 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 228690237275136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425058537308160).

228690237275136 is an abundant number, since it is smaller than the sum of its proper divisors (621426837341184).

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

228690237275136 is an equidigital number, since it uses as much as digits as its factorization.

228690237275136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8389 (or 8353 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 228690237275136 in words is "two hundred twenty-eight trillion, six hundred ninety billion, two hundred thirty-seven million, two hundred seventy-five thousand, one hundred thirty-six".