223728261120 has 1728 divisors, whose sum is σ = 1007322039360. Its totient is φ = 45482508288.

The previous prime is 223728261091. The next prime is 223728261161. The reversal of 223728261120 is 21162827322.

223728261120 is a `hidden beast` number, since 2 + 2 + 37 + 2 + 8 + 2 + 611 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2172118989 + ... + 2172119091.

It is an arithmetic number, because the mean of its divisors is an integer number (582940995).

Almost surely, 2^223728261120 is an apocalyptic number.

223728261120 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 223728261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503661019680).

223728261120 is an abundant number, since it is smaller than the sum of its proper divisors (783593778240).

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

223728261120 is a wasteful number, since it uses less digits than its factorization.

223728261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 223728261120 in words is "two hundred twenty-three billion, seven hundred twenty-eight million, two hundred sixty-one thousand, one hundred twenty".