10336363128 has 384 divisors, whose sum is σ = 37419840000. Its totient is φ = 2581383168.

The previous prime is 10336363123. The next prime is 10336363181. The reversal of 10336363128 is 82136363301.

10336363128 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 636 + 3 + 12 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10336363092 and 10336363101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10336363123) 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 95 ways as a sum of consecutive naturals, for example, 4853968 + ... + 4856096.

It is an arithmetic number, because the mean of its divisors is an integer number (97447500).

Almost surely, 2^10336363128 is an apocalyptic number.

10336363128 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 10336363128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18709920000).

10336363128 is an abundant number, since it is smaller than the sum of its proper divisors (27083476872).

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

10336363128 is a wasteful number, since it uses less digits than its factorization.

10336363128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 10336363128 in words is "ten billion, three hundred thirty-six million, three hundred sixty-three thousand, one hundred twenty-eight".