10649749176 has 288 divisors, whose sum is σ = 33462374400. Its totient is φ = 3053001600.

The previous prime is 10649749171. The next prime is 10649749177. The reversal of 10649749176 is 67194794601.

10649749176 is a `hidden beast` number, since 1 + 0 + 64 + 97 + 491 + 7 + 6 = 666.

10649749176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10649749176² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10649749171) 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 71 ways as a sum of consecutive naturals, for example, 12692965 + ... + 12693803.

It is an arithmetic number, because the mean of its divisors is an integer number (116188800).

Almost surely, 2^10649749176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10649749176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16731187200).

10649749176 is an abundant number, since it is smaller than the sum of its proper divisors (22812625224).

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

10649749176 is a wasteful number, since it uses less digits than its factorization.

10649749176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 10649749176 in words is "ten billion, six hundred forty-nine million, seven hundred forty-nine thousand, one hundred seventy-six".