4288223379456 has 480 divisors, whose sum is σ = 13016859055200. Its totient is φ = 1410594766848.

The previous prime is 4288223379421. The next prime is 4288223379481. The reversal of 4288223379456 is 6549733228824.

4288223379456 is a `hidden beast` number, since 4 + 2 + 8 + 82 + 2 + 33 + 79 + 456 = 666.

It is a super-2 number, since 2×4288223379456² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4288223379393 and 4288223379402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12357992275 + ... + 12357992621.

It is an arithmetic number, because the mean of its divisors is an integer number (27118456365).

Almost surely, 2^{4288223379456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4288223379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508429527600).

4288223379456 is an abundant number, since it is smaller than the sum of its proper divisors (8728635675744).

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

4288223379456 is an frugal number, since it uses more digits than its factorization.

4288223379456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 449 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 4288223379456 in words is "four trillion, two hundred eighty-eight billion, two hundred twenty-three million, three hundred seventy-nine thousand, four hundred fifty-six".