223719874560 has 2016 divisors, whose sum is σ = 1047652220160. Its totient is φ = 44718096384.

The previous prime is 223719874559. The next prime is 223719874561. The reversal of 223719874560 is 65478917322.

It is a happy number.

223719874560 is a `hidden beast` number, since 2 + 2 + 3 + 7 + 1 + 9 + 8 + 74 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (223719874559) and next prime (223719874561).

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a junction number, because it is equal to n+sod(n) for n = 223719874497 and 223719874506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223719874561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11774730231 + ... + 11774730249.

It is an arithmetic number, because the mean of its divisors is an integer number (519668760).

It is a 1-persistent number, because it is pandigital, but 2⋅223719874560 = 447439749120 is not.

Almost surely, 2^223719874560 is an apocalyptic number.

223719874560 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 223719874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523826110080).

223719874560 is an abundant number, since it is smaller than the sum of its proper divisors (823932345600).

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

223719874560 is an equidigital number, since it uses as much as digits as its factorization.

223719874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 223719874560 in words is "two hundred twenty-three billion, seven hundred nineteen million, eight hundred seventy-four thousand, five hundred sixty".