223106314613364 has 768 divisors, whose sum is σ = 730830016143360. Its totient is φ = 58016620666368.

The previous prime is 223106314613309. The next prime is 223106314613419. The reversal of 223106314613364 is 463316413601322.

223106314613364 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 0 + 631 + 4 + 6 + 1 + 3 + 3 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (223106314613309) and next prime (223106314613419).

It is a super-3 number, since 3×223106314613364³ (a number of 44 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 255 ways as a sum of consecutive naturals, for example, 36142280182 + ... + 36142286354.

It is an arithmetic number, because the mean of its divisors is an integer number (951601583520).

Almost surely, 2^{223106314613364} 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 223106314613364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365415008071680).

223106314613364 is an abundant number, since it is smaller than the sum of its proper divisors (507723701529996).

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

223106314613364 is a wasteful number, since it uses less digits than its factorization.

223106314613364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6848 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 223106314613364 in words is "two hundred twenty-three trillion, one hundred six billion, three hundred fourteen million, six hundred thirteen thousand, three hundred sixty-four".