252099445248 has 240 divisors, whose sum is σ = 849212432640. Its totient is φ = 70495469568.

The previous prime is 252099445219. The next prime is 252099445249. The reversal of 252099445248 is 842544990252.

252099445248 is a `hidden beast` number, since 2 + 5 + 20 + 9 + 94 + 4 + 524 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 252099445194 and 252099445203.

It is not an unprimeable number, because it can be changed into a prime (252099445249) by changing a digit.

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, 1432888 + ... + 1599176.

It is an arithmetic number, because the mean of its divisors is an integer number (3538385136).

Almost surely, 2^252099445248 is an apocalyptic number.

252099445248 is a gapful number since it is divisible by the number (28) 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 252099445248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424606216320).

252099445248 is an abundant number, since it is smaller than the sum of its proper divisors (597112987392).

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

252099445248 is a wasteful number, since it uses less digits than its factorization.

252099445248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166367 (or 166348 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 252099445248 in words is "two hundred fifty-two billion, ninety-nine million, four hundred forty-five thousand, two hundred forty-eight".