1223755344 has 320 divisors, whose sum is σ = 4309248000. Its totient is φ = 325627776.

The previous prime is 1223755333. The next prime is 1223755367. The reversal of 1223755344 is 4435573221.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (100800) is a multiple of the sum of its prime divisors (90).

It is a junction number, because it is equal to n+sod(n) for n = 1223755299 and 1223755308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20741587 + ... + 20741645.

It is an arithmetic number, because the mean of its divisors is an integer number (13466400).

Almost surely, 2^1223755344 is an apocalyptic number.

1223755344 is a gapful number since it is divisible by the number (14) 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 1223755344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154624000).

1223755344 is an abundant number, since it is smaller than the sum of its proper divisors (3085492656).

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

1223755344 is an equidigital number, since it uses as much as digits as its factorization.

1223755344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 90 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 1223755344 is about 34982.2146811776. The cubic root of 1223755344 is about 1069.6249723644.

The spelling of 1223755344 in words is "one billion, two hundred twenty-three million, seven hundred fifty-five thousand, three hundred forty-four".