248824994306112 has 1568 divisors, whose sum is σ = 902064505036800. Its totient is φ = 67959379676160.

The previous prime is 248824994306069. The next prime is 248824994306183. The reversal of 248824994306112 is 211603499428842.

It is a happy number.

248824994306112 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 2 + 4 + 9 + 9 + 4 + 3 + 0 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1568).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 248824994306112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 41175736563 + ... + 41175742605.

Almost surely, 2^{248824994306112} 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 248824994306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451032252518400).

248824994306112 is an abundant number, since it is smaller than the sum of its proper divisors (653239510730688).

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

248824994306112 is an frugal number, since it uses more digits than its factorization.

248824994306112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6208 (or 6169 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 248824994306112 in words is "two hundred forty-eight trillion, eight hundred twenty-four billion, nine hundred ninety-four million, three hundred six thousand, one hundred twelve".