10168377648 has 320 divisors, whose sum is σ = 33327866880. Its totient is φ = 2625638400.

The previous prime is 10168377643. The next prime is 10168377701. The reversal of 10168377648 is 84677386101.

It is a self number, because there is not a number n which added to its sum of digits gives 10168377648.

It is not an unprimeable number, because it can be changed into a prime (10168377643) 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 63 ways as a sum of consecutive naturals, for example, 4577178 + ... + 4579398.

It is an arithmetic number, because the mean of its divisors is an integer number (104149584).

Almost surely, 2^10168377648 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 10168377648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16663933440).

10168377648 is an abundant number, since it is smaller than the sum of its proper divisors (23159489232).

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

10168377648 is a wasteful number, since it uses less digits than its factorization.

10168377648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 10168377648 in words is "ten billion, one hundred sixty-eight million, three hundred seventy-seven thousand, six hundred forty-eight".