10536146208 has 432 divisors, whose sum is σ = 36233477280. Its totient is φ = 2893750272.

The previous prime is 10536146197. The next prime is 10536146221. The reversal of 10536146208 is 80264163501.

It is a happy number.

10536146208 is a `hidden beast` number, since 10 + 5 + 3 + 6 + 14 + 620 + 8 = 666.

It is a super-2 number, since 2×10536146208² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58861063 + ... + 58861241.

It is an arithmetic number, because the mean of its divisors is an integer number (83873790).

Almost surely, 2^10536146208 is an apocalyptic number.

10536146208 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 10536146208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18116738640).

10536146208 is an abundant number, since it is smaller than the sum of its proper divisors (25697331072).

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

10536146208 is a wasteful number, since it uses less digits than its factorization.

10536146208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10536146208 in words is "ten billion, five hundred thirty-six million, one hundred forty-six thousand, two hundred eight".