7223893761312 has 288 divisors, whose sum is σ = 21854215983600. Its totient is φ = 2255620276224.

The previous prime is 7223893761289. The next prime is 7223893761313. The reversal of 7223893761312 is 2131673983227.

It is a happy number.

7223893761312 is a `hidden beast` number, since 7 + 2 + 2 + 3 + 8 + 9 + 3 + 7 + 613 + 12 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7007858439696 + 216035321616 = 2647236^2 + 464796^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7223893761312² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7223893761313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1708178014 + ... + 1708182242.

Almost surely, 2^{7223893761312} is an apocalyptic number.

7223893761312 is a gapful number since it is divisible by the number (72) 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 7223893761312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10927107991800).

7223893761312 is an abundant number, since it is smaller than the sum of its proper divisors (14630322222288).

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

7223893761312 is a wasteful number, since it uses less digits than its factorization.

7223893761312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828 (or 5817 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 7223893761312 in words is "seven trillion, two hundred twenty-three billion, eight hundred ninety-three million, seven hundred sixty-one thousand, three hundred twelve".