10544983268416 has 63 divisors (see below), whose sum is σ = 21673189584319. Its totient is φ = 5090317879808.

The previous prime is 10544983268311. The next prime is 10544983268423. The reversal of 10544983268416 is 61486238944501.

The square root of 10544983268416 is 3247304.

It is a perfect power (a square), and thus also a powerful number.

10544983268416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1298881600 + 10543684386816 = 36040^2 + 3247104^2 .

It is a super-2 number, since 2×10544983268416² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 753367530 + ... + 753381526.

Almost surely, 2^{10544983268416} is an apocalyptic number.

10544983268416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10544983268416 is the 3247304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10544983268416

10544983268416 is an abundant number, since it is smaller than the sum of its proper divisors (11128206315903).

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

10544983268416 is an frugal number, since it uses more digits than its factorization.

10544983268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28064 (or 14028 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 10544983268416 in words is "ten trillion, five hundred forty-four billion, nine hundred eighty-three million, two hundred sixty-eight thousand, four hundred sixteen".