228966937580160 has 768 divisors, whose sum is σ = 862349040352800. Its totient is φ = 55644727541760.

The previous prime is 228966937580149. The next prime is 228966937580201. The reversal of 228966937580160 is 61085739669822.

It is a happy number.

228966937580160 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 6 + 6 + 9 + 37 + 580 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 9794546381376 + 219172391198784 = 3129624^2 + 14804472^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2293449604 + ... + 2293549436.

Almost surely, 2^{228966937580160} is an apocalyptic number.

228966937580160 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 228966937580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431174520176400).

228966937580160 is an abundant number, since it is smaller than the sum of its proper divisors (633382102772640).

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

228966937580160 is a wasteful number, since it uses less digits than its factorization.

228966937580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100261 (or 100246 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 228966937580160 in words is "two hundred twenty-eight trillion, nine hundred sixty-six billion, nine hundred thirty-seven million, five hundred eighty thousand, one hundred sixty".