10146777708 has 96 divisors (see below), whose sum is σ = 25459660800. Its totient is φ = 3135435264.

The previous prime is 10146777691. The next prime is 10146777713. The reversal of 10146777708 is 80777764101.

10146777708 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5787360 + ... + 5789112.

It is an arithmetic number, because the mean of its divisors is an integer number (265204800).

Almost surely, 2^10146777708 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 10146777708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12729830400).

10146777708 is an abundant number, since it is smaller than the sum of its proper divisors (15312883092).

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

10146777708 is a wasteful number, since it uses less digits than its factorization.

10146777708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 48.

The spelling of 10146777708 in words is "ten billion, one hundred forty-six million, seven hundred seventy-seven thousand, seven hundred eight".