788523042816 has 144 divisors (see below), whose sum is σ = 2278197574380. Its totient is φ = 262748897280.

The previous prime is 788523042809. The next prime is 788523042821. The reversal of 788523042816 is 618240325887.

788523042816 is a `hidden beast` number, since 7 + 8 + 8 + 52 + 304 + 281 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 627111945216 + 161411097600 = 791904^2 + 401760^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 11 ways as a sum of consecutive naturals, for example, 70644276 + ... + 70655436.

Almost surely, 2^788523042816 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 788523042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139098787190).

788523042816 is an abundant number, since it is smaller than the sum of its proper divisors (1489674531564).

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

788523042816 is a wasteful number, since it uses less digits than its factorization.

788523042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15022 (or 14999 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 788523042816 in words is "seven hundred eighty-eight billion, five hundred twenty-three million, forty-two thousand, eight hundred sixteen".