228013167083520 has 3648 divisors, whose sum is σ = 980819006872320. Its totient is φ = 44747653644288.

The previous prime is 228013167083503. The next prime is 228013167083651. The reversal of 228013167083520 is 25380761310822.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 228013167083520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3123468042204 + ... + 3123468042276.

It is an arithmetic number, because the mean of its divisors is an integer number (268864859340).

Almost surely, 2^{228013167083520} is an apocalyptic number.

228013167083520 is a gapful number since it is divisible by the number (20) 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 228013167083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490409503436160).

228013167083520 is an abundant number, since it is smaller than the sum of its proper divisors (752805839788800).

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

228013167083520 is an equidigital number, since it uses as much as digits as its factorization.

228013167083520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 228013167083520 in words is "two hundred twenty-eight trillion, thirteen billion, one hundred sixty-seven million, eighty-three thousand, five hundred twenty".