248129568 has 120 divisors (see below), whose sum is σ = 755134380. Its totient is φ = 79833600.

The previous prime is 248129537. The next prime is 248129573. The reversal of 248129568 is 865921842.

248129568 is a `hidden beast` number, since 2 + 4 + 81 + 2 + 9 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 242985744 + 5143824 = 15588^2 + 2268^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73518 + ... + 76818.

Almost surely, 2^248129568 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 248129568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377567190).

248129568 is an abundant number, since it is smaller than the sum of its proper divisors (507004812).

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

248129568 is a wasteful number, since it uses less digits than its factorization.

248129568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3335 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 248129568 is about 15752.1289989639. The cubic root of 248129568 is about 628.3855260551.

The spelling of 248129568 in words is "two hundred forty-eight million, one hundred twenty-nine thousand, five hundred sixty-eight".