223619968800 has 162 divisors, whose sum is σ = 788681433267. Its totient is φ = 59621291520.

The previous prime is 223619968799. The next prime is 223619968841. The reversal of 223619968800 is 8869916322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 998307216 + 222621661584 = 31596^2 + 471828^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334380.

It is a super-2 number, since 2×223619968800² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40122814 + ... + 40128386.

Almost surely, 2^223619968800 is an apocalyptic number.

223619968800 is a gapful number since it is divisible by the number (20) 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 223619968800

223619968800 is an abundant number, since it is smaller than the sum of its proper divisors (565061464467).

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

223619968800 is an frugal number, since it uses more digits than its factorization.

223619968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11172 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 223619968800 in words is "two hundred twenty-three billion, six hundred nineteen million, nine hundred sixty-eight thousand, eight hundred".