10336213340208 has 480 divisors, whose sum is σ = 38466125510400. Its totient is φ = 2633195464704.

The previous prime is 10336213340197. The next prime is 10336213340209. The reversal of 10336213340208 is 80204331263301.

10336213340208 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 621 + 3 + 3 + 4 + 0 + 20 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10336213340209) 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 95 ways as a sum of consecutive naturals, for example, 6081391 + ... + 7593137.

It is an arithmetic number, because the mean of its divisors is an integer number (80137761480).

Almost surely, 2^{10336213340208} is an apocalyptic number.

10336213340208 is a gapful number since it is divisible by the number (18) 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 10336213340208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19233062755200).

10336213340208 is an abundant number, since it is smaller than the sum of its proper divisors (28129912170192).

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

10336213340208 is a wasteful number, since it uses less digits than its factorization.

10336213340208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511814 (or 1511795 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 10336213340208 in words is "ten trillion, three hundred thirty-six billion, two hundred thirteen million, three hundred forty thousand, two hundred eight".