228808495153152 has 480 divisors, whose sum is σ = 700455115503360. Its totient is φ = 73775964487680.

The previous prime is 228808495153123. The next prime is 228808495153153. The reversal of 228808495153152 is 251351594808822.

228808495153152 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 0 + 8 + 4 + 95 + 1 + 531 + 5 + 2 = 666.

It is a super-3 number, since 3×228808495153152³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 228808495153152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228808495153153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1664562058 + ... + 1664699510.

It is an arithmetic number, because the mean of its divisors is an integer number (1459281490632).

Almost surely, 2^{228808495153152} 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 228808495153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350227557751680).

228808495153152 is an abundant number, since it is smaller than the sum of its proper divisors (471646620350208).

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

228808495153152 is an equidigital number, since it uses as much as digits as its factorization.

228808495153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137614 (or 137582 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 63.

The spelling of 228808495153152 in words is "two hundred twenty-eight trillion, eight hundred eight billion, four hundred ninety-five million, one hundred fifty-three thousand, one hundred fifty-two".