223144312114400 has 72 divisors (see below), whose sum is σ = 544753137489624. Its totient is φ = 89257383129600.

The previous prime is 223144312114397. The next prime is 223144312114403. The reversal of 223144312114400 is 4411213441322.

223144312114400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223144312114397) and next prime (223144312114403).

It is a super-3 number, since 3×223144312114400³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223144312114403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364086614 + ... + 364698986.

It is an arithmetic number, because the mean of its divisors is an integer number (7566015798467).

Almost surely, 2^{223144312114400} is an apocalyptic number.

223144312114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223144312114400 is an abundant number, since it is smaller than the sum of its proper divisors (321608825375224).

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

223144312114400 is a wasteful number, since it uses less digits than its factorization.

223144312114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067884 (or 1067871 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 223144312114400 its reverse (4411213441322), we get a palindrome (227555525555722).

The spelling of 223144312114400 in words is "two hundred twenty-three trillion, one hundred forty-four billion, three hundred twelve million, one hundred fourteen thousand, four hundred".