223105634034040 has 64 divisors (see below), whose sum is σ = 515558345117760. Its totient is φ = 86829722449920.

The previous prime is 223105634034007. The next prime is 223105634034047. The reversal of 223105634034040 is 40430436501322.

It is a super-3 number, since 3×223105634034040³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223105634034047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271556109 + ... + 272376451.

It is an arithmetic number, because the mean of its divisors is an integer number (8055599142465).

Almost surely, 2^{223105634034040} is an apocalyptic number.

223105634034040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223105634034040 is an abundant number, since it is smaller than the sum of its proper divisors (292452711083720).

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

223105634034040 is a wasteful number, since it uses less digits than its factorization.

223105634034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004152 (or 1004148 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

The spelling of 223105634034040 in words is "two hundred twenty-three trillion, one hundred five billion, six hundred thirty-four million, thirty-four thousand, forty".