10717144416 has 576 divisors, whose sum is σ = 36682813440. Its totient is φ = 2935296000.

The previous prime is 10717144397. The next prime is 10717144499. The reversal of 10717144416 is 61444171701.

10717144416 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 2×10717144416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 150945661 + ... + 150945731.

It is an arithmetic number, because the mean of its divisors is an integer number (63685440).

Almost surely, 2^10717144416 is an apocalyptic number.

10717144416 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 10717144416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18341406720).

10717144416 is an abundant number, since it is smaller than the sum of its proper divisors (25965669024).

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

10717144416 is a wasteful number, since it uses less digits than its factorization.

10717144416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10717144416 in words is "ten billion, seven hundred seventeen million, one hundred forty-four thousand, four hundred sixteen".