223254450512 has 160 divisors (see below), whose sum is σ = 484825888800. Its totient is φ = 99102818304.

The previous prime is 223254450467. The next prime is 223254450521. The reversal of 223254450512 is 215054452322.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 20973990976 + 202280459536 = 144824^2 + 449756^2 .

It is a super-3 number, since 3×223254450512³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62763038 + ... + 62766594.

It is an arithmetic number, because the mean of its divisors is an integer number (3030161805).

Almost surely, 2^223254450512 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 223254450512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242412944400).

223254450512 is an abundant number, since it is smaller than the sum of its proper divisors (261571438288).

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

223254450512 is a wasteful number, since it uses less digits than its factorization.

223254450512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 223254450512 in words is "two hundred twenty-three billion, two hundred fifty-four million, four hundred fifty thousand, five hundred twelve".