10611472144 has 135 divisors (see below), whose sum is σ = 25989493653. Its totient is φ = 4183111296.

The previous prime is 10611472139. The next prime is 10611472217. The reversal of 10611472144 is 44127411601.

The square root of 10611472144 is 103012.

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

10611472144 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 only one way, i.e., 1569744400 + 9041727744 = 39620^2 + 95088^2 .

It is a super-2 number, since 2×10611472144² (a number of 21 digits) contains 22 as substring.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 37496227 + ... + 37496509.

Almost surely, 2^10611472144 is an apocalyptic number.

10611472144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10611472144 is the 103012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10611472144

10611472144 is an abundant number, since it is smaller than the sum of its proper divisors (15378021509).

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

10611472144 is an equidigital number, since it uses as much as digits as its factorization.

10611472144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

Adding to 10611472144 its reverse (44127411601), we get a palindrome (54738883745).

The spelling of 10611472144 in words is "ten billion, six hundred eleven million, four hundred seventy-two thousand, one hundred forty-four".