108014766336 has 243 divisors, whose sum is σ = 321137307673. Its totient is φ = 34916413440.

The previous prime is 108014766329. The next prime is 108014766359. The reversal of 108014766336 is 633667410801.

The square root of 108014766336 is 328656.

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

108014766336 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 1 + 4 + 7 + 6 + 633 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5204756736 + 102810009600 = 72144^2 + 320640^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 108014766291 and 108014766300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 646794925 + ... + 646795091.

Almost surely, 2^108014766336 is an apocalyptic number.

108014766336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

108014766336 is the 328656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108014766336

108014766336 is an abundant number, since it is smaller than the sum of its proper divisors (213122541337).

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

108014766336 is an frugal number, since it uses more digits than its factorization.

108014766336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 108014766336 in words is "one hundred eight billion, fourteen million, seven hundred sixty-six thousand, three hundred thirty-six".