10648714176 has 168 divisors, whose sum is σ = 31413590208. Its totient is φ = 3446784000.

The previous prime is 10648714169. The next prime is 10648714183. The reversal of 10648714176 is 67141784601.

It is an interprime number because it is at equal distance from previous prime (10648714169) and next prime (10648714183).

It is a super-2 number, since 2×10648714176² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5690521 + ... + 5692391.

It is an arithmetic number, because the mean of its divisors is an integer number (186985656).

Almost surely, 2^10648714176 is an apocalyptic number.

10648714176 is a gapful number since it is divisible by the number (16) 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 10648714176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15706795104).

10648714176 is an abundant number, since it is smaller than the sum of its proper divisors (20764876032).

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

10648714176 is a wasteful number, since it uses less digits than its factorization.

10648714176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 10648714176 in words is "ten billion, six hundred forty-eight million, seven hundred fourteen thousand, one hundred seventy-six".