228500646454080 has 2688 divisors, whose sum is σ = 1085765831894016. Its totient is φ = 42570665164800.

The previous prime is 228500646454027. The next prime is 228500646454097. The reversal of 228500646454080 is 80454646005822.

228500646454080 is a `hidden beast` number, since 2 + 2 + 8 + 50 + 0 + 6 + 46 + 4 + 540 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27540148492 + ... + 27540156788.

It is an arithmetic number, because the mean of its divisors is an integer number (403930741032).

Almost surely, 2^{228500646454080} is an apocalyptic number.

228500646454080 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 228500646454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542882915947008).

228500646454080 is an abundant number, since it is smaller than the sum of its proper divisors (857265185439936).

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

228500646454080 is a wasteful number, since it uses less digits than its factorization.

228500646454080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8625 (or 8612 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 228500646454080 in words is "two hundred twenty-eight trillion, five hundred billion, six hundred forty-six million, four hundred fifty-four thousand, eighty".