248941123600 has 405 divisors, whose sum is σ = 690340182309. Its totient is φ = 86216832000.

The previous prime is 248941123583. The next prime is 248941123601. The reversal of 248941123600 is 6321149842.

The square root of 248941123600 is 498940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 111163561744 + 137777561856 = 333412^2 + 371184^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248941123601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2464763550 + ... + 2464763650.

Almost surely, 2^248941123600 is an apocalyptic number.

248941123600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

248941123600 is the 498940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248941123600

248941123600 is an abundant number, since it is smaller than the sum of its proper divisors (441399058709).

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

248941123600 is a wasteful number, since it uses less digits than its factorization.

248941123600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 248941123600 in words is "two hundred forty-eight billion, nine hundred forty-one million, one hundred twenty-three thousand, six hundred".