228117530612160 has 448 divisors, whose sum is σ = 919750253399040. Its totient is φ = 52138978283520.

The previous prime is 228117530612149. The next prime is 228117530612207. The reversal of 228117530612160 is 61216035711822.

228117530612160 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 17 + 5 + 3 + 0 + 612 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1788995127 + ... + 1789122633.

It is an arithmetic number, because the mean of its divisors is an integer number (2053013958480).

Almost surely, 2^{228117530612160} is an apocalyptic number.

228117530612160 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 228117530612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459875126699520).

228117530612160 is an abundant number, since it is smaller than the sum of its proper divisors (691632722786880).

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

228117530612160 is a wasteful number, since it uses less digits than its factorization.

228117530612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157121 (or 157105 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 228117530612160 in words is "two hundred twenty-eight trillion, one hundred seventeen billion, five hundred thirty million, six hundred twelve thousand, one hundred sixty".