223458448343040 has 320 divisors, whose sum is σ = 801127741657320. Its totient is φ = 59588916019200.

The previous prime is 223458448342981. The next prime is 223458448343093. The reversal of 223458448343040 is 40343844854322.

223458448343040 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 5 + 84 + 483 + 43 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×223458448343040² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 4852015 + ... + 21690065.

Almost surely, 2^{223458448343040} is an apocalyptic number.

223458448343040 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 223458448343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400563870828660).

223458448343040 is an abundant number, since it is smaller than the sum of its proper divisors (577669293314280).

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

223458448343040 is an frugal number, since it uses more digits than its factorization.

223458448343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16838098 (or 16838061 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 54.

The spelling of 223458448343040 in words is "two hundred twenty-three trillion, four hundred fifty-eight billion, four hundred forty-eight million, three hundred forty-three thousand, forty".