10746134208 has 168 divisors, whose sum is σ = 31953586080. Its totient is φ = 3448811520.

The previous prime is 10746134173. The next prime is 10746134219. The reversal of 10746134208 is 80243164701.

10746134208 is a `hidden beast` number, since 10 + 7 + 4 + 613 + 4 + 20 + 8 = 666.

It is a super-3 number, since 3×10746134208³ (a number of 31 digits) contains 333 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8134188 + ... + 8135508.

Almost surely, 2^10746134208 is an apocalyptic number.

10746134208 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 10746134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15976793040).

10746134208 is an abundant number, since it is smaller than the sum of its proper divisors (21207451872).

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

10746134208 is a wasteful number, since it uses less digits than its factorization.

10746134208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 10746134208 its reverse (80243164701), we get a palindrome (90989298909).

The spelling of 10746134208 in words is "ten billion, seven hundred forty-six million, one hundred thirty-four thousand, two hundred eight".