223948800000 has 768 divisors, whose sum is σ = 839613448800. Its totient is φ = 59719680000.

The previous prime is 223948799989. The next prime is 223948800011. The reversal of 223948800000 is 8849322.

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 is an interprime number because it is at equal distance from previous prime (223948799989) and next prime (223948800011).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-5 number, since 5×223948800000⁵ (a number of 58 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 44789759998 + ... + 44789760002.

Almost surely, 2^223948800000 is an apocalyptic number.

223948800000 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 223948800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419806724400).

223948800000 is an abundant number, since it is smaller than the sum of its proper divisors (615664648800).

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

223948800000 is an frugal number, since it uses more digits than its factorization.

223948800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 223948800000 in words is "two hundred twenty-three billion, nine hundred forty-eight million, eight hundred thousand".