223633428480 has 936 divisors, whose sum is σ = 984138034464. Its totient is φ = 46448640000.

The previous prime is 223633428467. The next prime is 223633428509. The reversal of 223633428480 is 84824336322.

223633428480 is a `hidden beast` number, since 2 + 2 + 3 + 633 + 4 + 2 + 8 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×223633428480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99347355 + ... + 99349605.

It is an arithmetic number, because the mean of its divisors is an integer number (1051429524).

Almost surely, 2^223633428480 is an apocalyptic number.

223633428480 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 223633428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492069017232).

223633428480 is an abundant number, since it is smaller than the sum of its proper divisors (760504605984).

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

223633428480 is a wasteful number, since it uses less digits than its factorization.

223633428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 223633428480 in words is "two hundred twenty-three billion, six hundred thirty-three million, four hundred twenty-eight thousand, four hundred eighty".