248104456600 has 768 divisors, whose sum is σ = 826147123200. Its totient is φ = 66686976000.

The previous prime is 248104456571. The next prime is 248104456603. The reversal of 248104456600 is 6654401842.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248104456603) 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 191 ways as a sum of consecutive naturals, for example, 915514465 + ... + 915514735.

It is an arithmetic number, because the mean of its divisors is an integer number (1075712400).

Almost surely, 2^248104456600 is an apocalyptic number.

248104456600 is a gapful number since it is divisible by the number (20) 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 248104456600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413073561600).

248104456600 is an abundant number, since it is smaller than the sum of its proper divisors (578042666600).

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

248104456600 is a wasteful number, since it uses less digits than its factorization.

248104456600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 248104456600 in words is "two hundred forty-eight billion, one hundred four million, four hundred fifty-six thousand, six hundred".