4252231777248 has 720 divisors, whose sum is σ = 16172040576384. Its totient is φ = 1085278279680.

The previous prime is 4252231777237. The next prime is 4252231777249. The reversal of 4252231777248 is 8427771322524.

4252231777248 is a `hidden beast` number, since 4 + 2 + 5 + 223 + 177 + 7 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4252231777194 and 4252231777203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4252231777249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51142686 + ... + 51225762.

Almost surely, 2^{4252231777248} is an apocalyptic number.

4252231777248 is a gapful number since it is divisible by the number (48) 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 4252231777248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8086020288192).

4252231777248 is an abundant number, since it is smaller than the sum of its proper divisors (11919808799136).

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

4252231777248 is a wasteful number, since it uses less digits than its factorization.

4252231777248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83157 (or 83133 counting only the distinct ones).

The product of its digits is 10536960, while the sum is 54.

The spelling of 4252231777248 in words is "four trillion, two hundred fifty-two billion, two hundred thirty-one million, seven hundred seventy-seven thousand, two hundred forty-eight".