223867765440 has 448 divisors, whose sum is σ = 868176714240. Its totient is φ = 53853696000.

The previous prime is 223867765409. The next prime is 223867765469. The reversal of 223867765440 is 44567768322.

223867765440 is a `hidden beast` number, since 2 + 2 + 38 + 67 + 7 + 6 + 544 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12441250 + ... + 12459230.

Almost surely, 2^223867765440 is an apocalyptic number.

223867765440 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 223867765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434088357120).

223867765440 is an abundant number, since it is smaller than the sum of its proper divisors (644308948800).

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

223867765440 is a wasteful number, since it uses less digits than its factorization.

223867765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18149 (or 18133 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 223867765440 in words is "two hundred twenty-three billion, eight hundred sixty-seven million, seven hundred sixty-five thousand, four hundred forty".