252824674648 has 96 divisors (see below), whose sum is σ = 589599648000. Its totient is φ = 99515205504.

The previous prime is 252824674631. The next prime is 252824674717. The reversal of 252824674648 is 846476428252.

252824674648 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252824674648² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252824674592 and 252824674601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1816215 + ... + 1950457.

It is an arithmetic number, because the mean of its divisors is an integer number (6141663000).

Almost surely, 2^252824674648 is an apocalyptic number.

252824674648 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 252824674648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294799824000).

252824674648 is an abundant number, since it is smaller than the sum of its proper divisors (336774973352).

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

252824674648 is a wasteful number, since it uses less digits than its factorization.

252824674648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134481 (or 134464 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 58.

The spelling of 252824674648 in words is "two hundred fifty-two billion, eight hundred twenty-four million, six hundred seventy-four thousand, six hundred forty-eight".