223220054147004 has 192 divisors, whose sum is σ = 615720917145600. Its totient is φ = 69691597516800.

The previous prime is 223220054146993. The next prime is 223220054147023. The reversal of 223220054147004 is 400741450022322.

223220054147004 is a `hidden beast` number, since 2 + 2 + 32 + 200 + 5 + 414 + 7 + 0 + 0 + 4 = 666.

It is a super-3 number, since 3×223220054147004³ (a number of 44 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 223220054147004.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 6105730077 + ... + 6105766635.

It is an arithmetic number, because the mean of its divisors is an integer number (3206879776800).

Almost surely, 2^{223220054147004} 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 223220054147004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307860458572800).

223220054147004 is an abundant number, since it is smaller than the sum of its proper divisors (392500862998596).

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

223220054147004 is a wasteful number, since it uses less digits than its factorization.

223220054147004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52561 (or 52553 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 223220054147004 in words is "two hundred twenty-three trillion, two hundred twenty billion, fifty-four million, one hundred forty-seven thousand, four".