248805430416 has 135 divisors (see below), whose sum is σ = 703194752793. Its totient is φ = 82123090560.

The previous prime is 248805430411. The next prime is 248805430417. The reversal of 248805430416 is 614034508842.

The square root of 248805430416 is 498804.

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

248805430416 is a `hidden beast` number, since 24 + 8 + 80 + 543 + 0 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 243779187600 + 5026242816 = 493740^2 + 70896^2 .

It is not an unprimeable number, because it can be changed into a prime (248805430411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1179172551 + ... + 1179172761.

Almost surely, 2^248805430416 is an apocalyptic number.

248805430416 is the 498804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248805430416

248805430416 is an abundant number, since it is smaller than the sum of its proper divisors (454389322377).

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

248805430416 is an equidigital number, since it uses as much as digits as its factorization.

248805430416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 248805430416 in words is "two hundred forty-eight billion, eight hundred five million, four hundred thirty thousand, four hundred sixteen".