556634326248 has 1536 divisors, whose sum is σ = 2210026291200. Its totient is φ = 122943744000.

The previous prime is 556634326207. The next prime is 556634326249. The reversal of 556634326248 is 842623436655.

It is a happy number.

556634326248 is a `hidden beast` number, since 5 + 5 + 6 + 6 + 3 + 4 + 3 + 2 + 624 + 8 = 666.

556634326248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 556634326194 and 556634326203.

It is not an unprimeable number, because it can be changed into a prime (556634326249) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7839920053 + ... + 7839920123.

It is an arithmetic number, because the mean of its divisors is an integer number (1438819200).

Almost surely, 2^556634326248 is an apocalyptic number.

556634326248 is a gapful number since it is divisible by the number (58) 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 556634326248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105013145600).

556634326248 is an abundant number, since it is smaller than the sum of its proper divisors (1653391964952).

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

556634326248 is a wasteful number, since it uses less digits than its factorization.

556634326248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 556634326248 in words is "five hundred fifty-six billion, six hundred thirty-four million, three hundred twenty-six thousand, two hundred forty-eight".