9954946336608 has 2304 divisors, whose sum is σ = 40171756584960. Its totient is φ = 2261783347200.

The previous prime is 9954946336597. The next prime is 9954946336609. The reversal of 9954946336608 is 8066336494599.

It is a happy number.

9954946336608 is a `hidden beast` number, since 9 + 9 + 5 + 4 + 9 + 4 + 6 + 3 + 3 + 6 + 608 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9954946336609) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 52120137793 + ... + 52120137983.

It is an arithmetic number, because the mean of its divisors is an integer number (17435658240).

Almost surely, 2^{9954946336608} 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 9954946336608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20085878292480).

9954946336608 is an abundant number, since it is smaller than the sum of its proper divisors (30216810248352).

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

9954946336608 is a wasteful number, since it uses less digits than its factorization.

9954946336608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 72.

The spelling of 9954946336608 in words is "nine trillion, nine hundred fifty-four billion, nine hundred forty-six million, three hundred thirty-six thousand, six hundred eight".