223105555646064 has 640 divisors, whose sum is σ = 803148595200000. Its totient is φ = 57727501396992.

The previous prime is 223105555646063. The next prime is 223105555646069. The reversal of 223105555646064 is 460646555501322.

223105555646064 is a `hidden beast` number, since 2 + 2 + 3 + 10 + 5 + 5 + 5 + 564 + 6 + 0 + 64 = 666.

223105555646064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223105555646064³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 223105555646064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223105555646063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1157288209 + ... + 1157480975.

It is an arithmetic number, because the mean of its divisors is an integer number (1254919680000).

Almost surely, 2^{223105555646064} is an apocalyptic number.

223105555646064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223105555646064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401574297600000).

223105555646064 is an abundant number, since it is smaller than the sum of its proper divisors (580043039553936).

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

223105555646064 is a wasteful number, since it uses less digits than its factorization.

223105555646064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193362 (or 193350 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 223105555646064 in words is "two hundred twenty-three trillion, one hundred five billion, five hundred fifty-five million, six hundred forty-six thousand, sixty-four".