223516403712 has 576 divisors, whose sum is σ = 787878000000. Its totient is φ = 59624128512.

The previous prime is 223516403651. The next prime is 223516403777. The reversal of 223516403712 is 217304615322.

223516403712 is a `hidden beast` number, since 2 + 2 + 3 + 5 + 1 + 640 + 3 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178955664 + ... + 178956912.

It is an arithmetic number, because the mean of its divisors is an integer number (1367843750).

Almost surely, 2^223516403712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223516403712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393939000000).

223516403712 is an abundant number, since it is smaller than the sum of its proper divisors (564361596288).

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

223516403712 is a wasteful number, since it uses less digits than its factorization.

223516403712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 223516403712 in words is "two hundred twenty-three billion, five hundred sixteen million, four hundred three thousand, seven hundred twelve".