223663624065540 has 288 divisors, whose sum is σ = 717502521415680. Its totient is φ = 56240096919552.

The previous prime is 223663624065463. The next prime is 223663624065547. The reversal of 223663624065540 is 45560426366322.

223663624065540 is a `hidden beast` number, since 2 + 2 + 3 + 6 + 6 + 3 + 624 + 0 + 6 + 5 + 5 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (223663624065547) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720264349 + ... + 720574811.

It is an arithmetic number, because the mean of its divisors is an integer number (2491328199360).

Almost surely, 2^{223663624065540} is an apocalyptic number.

223663624065540 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 223663624065540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358751260707840).

223663624065540 is an abundant number, since it is smaller than the sum of its proper divisors (493838897350140).

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

223663624065540 is a wasteful number, since it uses less digits than its factorization.

223663624065540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311483 (or 311478 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

The spelling of 223663624065540 in words is "two hundred twenty-three trillion, six hundred sixty-three billion, six hundred twenty-four million, sixty-five thousand, five hundred forty".