223253101518480 has 960 divisors, whose sum is σ = 920735866132992. Its totient is φ = 47804261007360.

The previous prime is 223253101518401. The next prime is 223253101518521. The reversal of 223253101518480 is 84815101352322.

223253101518480 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 5 + 3 + 10 + 151 + 8 + 480 = 666.

It is a super-3 number, since 3×223253101518480³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 163446034 + ... + 164806286.

Almost surely, 2^{223253101518480} is an apocalyptic number.

223253101518480 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 223253101518480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460367933066496).

223253101518480 is an abundant number, since it is smaller than the sum of its proper divisors (697482764614512).

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

223253101518480 is a wasteful number, since it uses less digits than its factorization.

223253101518480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360376 (or 1360367 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 223253101518480 in words is "two hundred twenty-three trillion, two hundred fifty-three billion, one hundred one million, five hundred eighteen thousand, four hundred eighty".