118286828706816 has 2816 divisors, whose sum is σ = 469317818880000. Its totient is φ = 29132587008000.

The previous prime is 118286828706793. The next prime is 118286828706821. The reversal of 118286828706816 is 618607828682811.

118286828706816 is a `hidden beast` number, since 1 + 1 + 8 + 286 + 8 + 287 + 0 + 68 + 1 + 6 = 666.

118286828706816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 184534833856 + ... + 184534834496.

Almost surely, 2^{118286828706816} is an apocalyptic number.

118286828706816 is a gapful number since it is divisible by the number (16) 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 118286828706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234658909440000).

118286828706816 is an abundant number, since it is smaller than the sum of its proper divisors (351030990173184).

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

118286828706816 is a wasteful number, since it uses less digits than its factorization.

118286828706816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 72.

The spelling of 118286828706816 in words is "one hundred eighteen trillion, two hundred eighty-six billion, eight hundred twenty-eight million, seven hundred six thousand, eight hundred sixteen".