223243371897664 has 336 divisors, whose sum is σ = 482219389890000. Its totient is φ = 102410456924160.

The previous prime is 223243371897649. The next prime is 223243371897673. The reversal of 223243371897664 is 466798173342322.

It can be written as a sum of positive squares in 8 ways, for example, as 37797805632064 + 185445566265600 = 6147992^2 + 13617840^2 .

It is a super-3 number, since 3×223243371897664³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223243371897664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144120962362 + ... + 144120963910.

It is an arithmetic number, because the mean of its divisors is an integer number (1435176755625).

Almost surely, 2^{223243371897664} 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 223243371897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241109694945000).

223243371897664 is an abundant number, since it is smaller than the sum of its proper divisors (258976017992336).

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

223243371897664 is a wasteful number, since it uses less digits than its factorization.

223243371897664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2473 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 67.

The spelling of 223243371897664 in words is "two hundred twenty-three trillion, two hundred forty-three billion, three hundred seventy-one million, eight hundred ninety-seven thousand, six hundred sixty-four".