228941256985560 has 512 divisors, whose sum is σ = 876537642240000. Its totient is φ = 52066742353920.

The previous prime is 228941256985541. The next prime is 228941256985589. The reversal of 228941256985560 is 65589652149822.

228941256985560 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 4 + 1 + 2 + 5 + 69 + 8 + 556 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 6267365376 + ... + 6267401904.

It is an arithmetic number, because the mean of its divisors is an integer number (1711987582500).

Almost surely, 2^{228941256985560} is an apocalyptic number.

228941256985560 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 228941256985560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438268821120000).

228941256985560 is an abundant number, since it is smaller than the sum of its proper divisors (647596385254440).

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

228941256985560 is a wasteful number, since it uses less digits than its factorization.

228941256985560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40696 (or 40686 counting only the distinct ones).

The product of its (nonzero) digits is 746496000, while the sum is 72.

The spelling of 228941256985560 in words is "two hundred twenty-eight trillion, nine hundred forty-one billion, two hundred fifty-six million, nine hundred eighty-five thousand, five hundred sixty".