223605742311450 has 864 divisors, whose sum is σ = 693398857132800. Its totient is φ = 51453024353280.

The previous prime is 223605742311397. The next prime is 223605742311493. The reversal of 223605742311450 is 54113247506322.

223605742311450 is a `hidden beast` number, since 2 + 2 + 3 + 6 + 0 + 574 + 2 + 31 + 1 + 45 + 0 = 666.

It is a super-2 number, since 2×223605742311450² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223605742311396 and 223605742311405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7865395836 + ... + 7865424264.

Almost surely, 2^{223605742311450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223605742311450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346699428566400).

223605742311450 is an abundant number, since it is smaller than the sum of its proper divisors (469793114821350).

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

223605742311450 is a wasteful number, since it uses less digits than its factorization.

223605742311450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28596 (or 28565 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

Adding to 223605742311450 its reverse (54113247506322), we get a palindrome (277718989817772).

The spelling of 223605742311450 in words is "two hundred twenty-three trillion, six hundred five billion, seven hundred forty-two million, three hundred eleven thousand, four hundred fifty".