223750067748864 has 1024 divisors, whose sum is σ = 655451802593280. Its totient is φ = 67700785152000.

The previous prime is 223750067748817. The next prime is 223750067748871. The reversal of 223750067748864 is 468847760057322.

223750067748864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 891434532739 + ... + 891434532989.

It is an arithmetic number, because the mean of its divisors is an integer number (640089650970).

Almost surely, 2^{223750067748864} is an apocalyptic number.

223750067748864 is a gapful number since it is divisible by the number (24) 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 223750067748864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327725901296640).

223750067748864 is an abundant number, since it is smaller than the sum of its proper divisors (431701734844416).

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

223750067748864 is a wasteful number, since it uses less digits than its factorization.

223750067748864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 69.

The spelling of 223750067748864 in words is "two hundred twenty-three trillion, seven hundred fifty billion, sixty-seven million, seven hundred forty-eight thousand, eight hundred sixty-four".