36444526848 has 324 divisors, whose sum is σ = 113590517040. Its totient is φ = 11230119936.

The previous prime is 36444526843. The next prime is 36444526871. The reversal of 36444526848 is 84862544463.

It is a happy number.

36444526848 is a `hidden beast` number, since 36 + 4 + 4 + 4 + 526 + 84 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36444526794 and 36444526803.

It is not an unprimeable number, because it can be changed into a prime (36444526841) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 35764483 + ... + 35765501.

Almost surely, 2^36444526848 is an apocalyptic number.

36444526848 is a gapful number since it is divisible by the number (38) 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 36444526848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56795258520).

36444526848 is an abundant number, since it is smaller than the sum of its proper divisors (77145990192).

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

36444526848 is a wasteful number, since it uses less digits than its factorization.

36444526848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1086 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 54.

The spelling of 36444526848 in words is "thirty-six billion, four hundred forty-four million, five hundred twenty-six thousand, eight hundred forty-eight".