248822046720 has 784 divisors, whose sum is σ = 965668149432. Its totient is φ = 61152952320.

The previous prime is 248822046709. The next prime is 248822046731. The reversal of 248822046720 is 27640228842.

It is an interprime number because it is at equal distance from previous prime (248822046709) and next prime (248822046731).

It can be written as a sum of positive squares in 4 ways, for example, as 206537527296 + 42284519424 = 454464^2 + 205632^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 388177600 + ... + 388178240.

Almost surely, 2^248822046720 is an apocalyptic number.

248822046720 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 248822046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482834074716).

248822046720 is an abundant number, since it is smaller than the sum of its proper divisors (716846102712).

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

248822046720 is an frugal number, since it uses more digits than its factorization.

248822046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 248822046720 in words is "two hundred forty-eight billion, eight hundred twenty-two million, forty-six thousand, seven hundred twenty".