248839561188 has 144 divisors (see below), whose sum is σ = 682709489280. Its totient is φ = 79102324224.

The previous prime is 248839561151. The next prime is 248839561193. The reversal of 248839561188 is 881165938842.

248839561188 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 3 + 9 + 5 + 611 + 8 + 8 = 666.

It is a super-2 number, since 2×248839561188² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7517458 + ... + 7550486.

It is an arithmetic number, because the mean of its divisors is an integer number (4741038120).

Almost surely, 2^248839561188 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 248839561188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341354744640).

248839561188 is an abundant number, since it is smaller than the sum of its proper divisors (433869928092).

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

248839561188 is a wasteful number, since it uses less digits than its factorization.

248839561188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33408 (or 33394 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 248839561188 in words is "two hundred forty-eight billion, eight hundred thirty-nine million, five hundred sixty-one thousand, one hundred eighty-eight".