13248930816 has 297 divisors, whose sum is σ = 42439302633. Its totient is φ = 3977994240.

The previous prime is 13248930769. The next prime is 13248930817. The reversal of 13248930816 is 61803984231.

The square root of 13248930816 is 115104.

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

13248930816 is a `hidden beast` number, since 1 + 324 + 8 + 9 + 308 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9234441216 + 4014489600 = 96096^2 + 63360^2 .

It is not an unprimeable number, because it can be changed into a prime (13248930817) 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, 121549770 + ... + 121549878.

Almost surely, 2^13248930816 is an apocalyptic number.

13248930816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13248930816 is the 115104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13248930816

13248930816 is an abundant number, since it is smaller than the sum of its proper divisors (29190371817).

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

13248930816 is a wasteful number, since it uses less digits than its factorization.

13248930816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13248930816 in words is "thirteen billion, two hundred forty-eight million, nine hundred thirty thousand, eight hundred sixteen".