10223188816896 has 1056 divisors, whose sum is σ = 34804916321280. Its totient is φ = 2995539148800.

The previous prime is 10223188816861. The next prime is 10223188816949. The reversal of 10223188816896 is 69861888132201.

10223188816896 is a `hidden beast` number, since 10 + 223 + 188 + 81 + 68 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8400318880 + ... + 8400320096.

Almost surely, 2^{10223188816896} is an apocalyptic number.

10223188816896 is a gapful number since it is divisible by the number (16) 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 10223188816896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17402458160640).

10223188816896 is an abundant number, since it is smaller than the sum of its proper divisors (24581727504384).

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

10223188816896 is an equidigital number, since it uses as much as digits as its factorization.

10223188816896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 10223188816896 in words is "ten trillion, two hundred twenty-three billion, one hundred eighty-eight million, eight hundred sixteen thousand, eight hundred ninety-six".