248925088569600 has 1215 divisors, whose sum is σ = 978473861477497. Its totient is φ = 62426848296960.

The previous prime is 248925088569587. The next prime is 248925088569629. The reversal of 248925088569600 is 6965880529842.

The square root of 248925088569600 is 15777360.

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

248925088569600 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 2 + 5 + 0 + 8 + 8 + 5 + 6 + 9 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 21163385735424 + 227761702834176 = 4600368^2 + 15091776^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 193114885756 + ... + 193114887044.

Almost surely, 2^{248925088569600} is an apocalyptic number.

248925088569600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

248925088569600 is the 15777360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248925088569600

248925088569600 is an abundant number, since it is smaller than the sum of its proper divisors (729548772907897).

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

248925088569600 is an frugal number, since it uses more digits than its factorization.

248925088569600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 248925088569600 in words is "two hundred forty-eight trillion, nine hundred twenty-five billion, eighty-eight million, five hundred sixty-nine thousand, six hundred".