228845816469504 has 1152 divisors, whose sum is σ = 758039017881600. Its totient is φ = 68141269647360.

The previous prime is 228845816469503. The next prime is 228845816469547. The reversal of 228845816469504 is 405964618548822.

228845816469504 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 4 + 58 + 1 + 6 + 4 + 69 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228845816469503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48659537617 + ... + 48659542319.

It is an arithmetic number, because the mean of its divisors is an integer number (658019980800).

Almost surely, 2^{228845816469504} is an apocalyptic number.

228845816469504 is a gapful number since it is divisible by the number (24) 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 228845816469504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379019508940800).

228845816469504 is an abundant number, since it is smaller than the sum of its proper divisors (529193201412096).

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

228845816469504 is a wasteful number, since it uses less digits than its factorization.

228845816469504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 72.

The spelling of 228845816469504 in words is "two hundred twenty-eight trillion, eight hundred forty-five billion, eight hundred sixteen million, four hundred sixty-nine thousand, five hundred four".