223873457040 has 200 divisors, whose sum is σ = 778061857848. Its totient is φ = 59659960320.

The previous prime is 223873457029. The next prime is 223873457047. The reversal of 223873457040 is 40754378322.

223873457040 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 7 + 34 + 570 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24953889024 + 198919568016 = 157968^2 + 446004^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (223873457047) 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, 10493424 + ... + 10514736.

Almost surely, 2^223873457040 is an apocalyptic number.

223873457040 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 223873457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389030928924).

223873457040 is an abundant number, since it is smaller than the sum of its proper divisors (554188400808).

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

223873457040 is a wasteful number, since it uses less digits than its factorization.

223873457040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22959 (or 22944 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 223873457040 in words is "two hundred twenty-three billion, eight hundred seventy-three million, four hundred fifty-seven thousand, forty".