223859948544 has 264 divisors, whose sum is σ = 659426966640. Its totient is φ = 73123430400.

The previous prime is 223859948399. The next prime is 223859948549. The reversal of 223859948544 is 445849958322.

223859948544 is a `hidden beast` number, since 2 + 2 + 3 + 85 + 9 + 9 + 4 + 8 + 544 = 666.

It is a super-2 number, since 2×223859948544² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223859948549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294165124 + ... + 294165884.

Almost surely, 2^223859948544 is an apocalyptic number.

223859948544 is a gapful number since it is divisible by the number (24) 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 223859948544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329713483320).

223859948544 is an abundant number, since it is smaller than the sum of its proper divisors (435567018096).

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

223859948544 is a wasteful number, since it uses less digits than its factorization.

223859948544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1366 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 223859948544 in words is "two hundred twenty-three billion, eight hundred fifty-nine million, nine hundred forty-eight thousand, five hundred forty-four".