10336493860992 has 576 divisors, whose sum is σ = 32790278476800. Its totient is φ = 3123299672064.

The previous prime is 10336493860969. The next prime is 10336493861003. The reversal of 10336493860992 is 29906839463301.

10336493860992 is a `hidden beast` number, since 10 + 3 + 3 + 6 + 4 + 9 + 3 + 8 + 609 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4995887734 + ... + 4995889802.

It is an arithmetic number, because the mean of its divisors is an integer number (56927566800).

Almost surely, 2^{10336493860992} is an apocalyptic number.

10336493860992 is a gapful number since it is divisible by the number (12) 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 10336493860992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16395139238400).

10336493860992 is an abundant number, since it is smaller than the sum of its proper divisors (22453784615808).

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

10336493860992 is a wasteful number, since it uses less digits than its factorization.

10336493860992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 10336493860992 in words is "ten trillion, three hundred thirty-six billion, four hundred ninety-three million, eight hundred sixty thousand, nine hundred ninety-two".