248581628352 has 448 divisors, whose sum is σ = 782199705600. Its totient is φ = 78240992256.

The previous prime is 248581628333. The next prime is 248581628357. The reversal of 248581628352 is 253826185842.

248581628352 is a `hidden beast` number, since 2 + 4 + 8 + 5 + 8 + 1 + 628 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248581628357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190775733 + ... + 190777035.

Almost surely, 2^248581628352 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 248581628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391099852800).

248581628352 is an abundant number, since it is smaller than the sum of its proper divisors (533618077248).

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

248581628352 is an equidigital number, since it uses as much as digits as its factorization.

248581628352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1384 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 248581628352 in words is "two hundred forty-eight billion, five hundred eighty-one million, six hundred twenty-eight thousand, three hundred fifty-two".