999961381243008 has 120 divisors (see below), whose sum is σ = 2975878449830055. Its totient is φ = 333319387122432.

The previous prime is 999961381243007. The next prime is 999961381243049. The reversal of 999961381243008 is 800342183169999.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

999961381243008 is a `hidden beast` number, since 9 + 9 + 99 + 61 + 38 + 12 + 430 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 499980690621504 + 499980690621504 = 22360248^2 + 22360248^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=22360248.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (999961381243001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3219720433 + ... + 3220030991.

Almost surely, 2^{999961381243008} is an apocalyptic number.

It is an amenable number.

999961381243008 is an abundant number, since it is smaller than the sum of its proper divisors (1975917068587047).

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

999961381243008 is an frugal number, since it uses more digits than its factorization.

999961381243008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621144 (or 310564 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

999961381243008 divided by its sum of digits (72) gives a square (13888352517264 = 3726708²).

The spelling of 999961381243008 in words is "nine hundred ninety-nine trillion, nine hundred sixty-one billion, three hundred eighty-one million, two hundred forty-three thousand, eight".