223098468480 has 320 divisors, whose sum is σ = 800246640600. Its totient is φ = 59229978624.

The previous prime is 223098468449. The next prime is 223098468487. The reversal of 223098468480 is 84864890322.

223098468480 is a `hidden beast` number, since 2 + 2 + 30 + 98 + 46 + 8 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 221524600896 + 1573867584 = 470664^2 + 39672^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×223098468480³ (a number of 35 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (223098468487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11861964 + ... + 11880756.

Almost surely, 2^223098468480 is an apocalyptic number.

223098468480 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 223098468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400123320300).

223098468480 is an abundant number, since it is smaller than the sum of its proper divisors (577148172120).

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

223098468480 is a wasteful number, since it uses less digits than its factorization.

223098468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19053 (or 19032 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 223098468480 in words is "two hundred twenty-three billion, ninety-eight million, four hundred sixty-eight thousand, four hundred eighty".