223785616803840 has 4320 divisors, whose sum is σ = 1043955989556480. Its totient is φ = 45649723392000.

The previous prime is 223785616803811. The next prime is 223785616803857. The reversal of 223785616803840 is 48308616587322.

223785616803840 is a `hidden beast` number, since 2 + 2 + 3 + 7 + 8 + 5 + 616 + 8 + 0 + 3 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 212926371315 + ... + 212926372365.

It is an arithmetic number, because the mean of its divisors is an integer number (241656479064).

Almost surely, 2^{223785616803840} is an apocalyptic number.

223785616803840 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 223785616803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521977994778240).

223785616803840 is an abundant number, since it is smaller than the sum of its proper divisors (820170372752640).

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

223785616803840 is a wasteful number, since it uses less digits than its factorization.

223785616803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 223785616803840 in words is "two hundred twenty-three trillion, seven hundred eighty-five billion, six hundred sixteen million, eight hundred three thousand, eight hundred forty".