223946253360 has 240 divisors, whose sum is σ = 780730030080. Its totient is φ = 59658612480.

The previous prime is 223946253319. The next prime is 223946253383. The reversal of 223946253360 is 63352649322.

223946253360 is a `hidden beast` number, since 2 + 2 + 39 + 4 + 6 + 253 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×223946253360² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21203761 + ... + 21214319.

It is an arithmetic number, because the mean of its divisors is an integer number (3253041792).

Almost surely, 2^223946253360 is an apocalyptic number.

223946253360 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 223946253360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390365015040).

223946253360 is an abundant number, since it is smaller than the sum of its proper divisors (556783776720).

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

223946253360 is a wasteful number, since it uses less digits than its factorization.

223946253360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11678 (or 11660 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 223946253360 in words is "two hundred twenty-three billion, nine hundred forty-six million, two hundred fifty-three thousand, three hundred sixty".