228127843147680 has 2880 divisors, whose sum is σ = 1079850908505600. Its totient is φ = 44888894668800.

The previous prime is 228127843147621. The next prime is 228127843147681. The reversal of 228127843147680 is 86741348721822.

228127843147680 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 2 + 7 + 84 + 3 + 1 + 476 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (228127843147681) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5948400505 + ... + 5948438855.

It is an arithmetic number, because the mean of its divisors is an integer number (374948232120).

Almost surely, 2^{228127843147680} is an apocalyptic number.

228127843147680 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 228127843147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539925454252800).

228127843147680 is an abundant number, since it is smaller than the sum of its proper divisors (851723065357920).

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

228127843147680 is a wasteful number, since it uses less digits than its factorization.

228127843147680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38457 (or 38433 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 228127843147680 in words is "two hundred twenty-eight trillion, one hundred twenty-seven billion, eight hundred forty-three million, one hundred forty-seven thousand, six hundred eighty".