223233142114400 has 72 divisors (see below), whose sum is σ = 594510445318104. Its totient is φ = 81175688038400.

The previous prime is 223233142114391. The next prime is 223233142114453. The reversal of 223233142114400 is 4411241332322.

It is a happy number.

It is a super-3 number, since 3×223233142114400³ (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12683692457 + ... + 12683710056.

It is an arithmetic number, because the mean of its divisors is an integer number (8257089518307).

Almost surely, 2^{223233142114400} is an apocalyptic number.

223233142114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223233142114400 is an abundant number, since it is smaller than the sum of its proper divisors (371277303203704).

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

223233142114400 is a wasteful number, since it uses less digits than its factorization.

223233142114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25367402544 (or 25367402531 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 223233142114400 its reverse (4411241332322), we get a palindrome (227644383446722).

The spelling of 223233142114400 in words is "two hundred twenty-three trillion, two hundred thirty-three billion, one hundred forty-two million, one hundred fourteen thousand, four hundred".