10949560416144 has 405 divisors, whose sum is σ = 37041121965627. Its totient is φ = 3126301593408.

The previous prime is 10949560416133. The next prime is 10949560416233. The reversal of 10949560416144 is 44161406594901.

It is a happy number.

The square root of 10949560416144 is 3309012.

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

10949560416144 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 9 + 5 + 604 + 16 + 14 + 4 = 666.

10949560416144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7504838487 + ... + 7504839945.

Almost surely, 2^{10949560416144} is an apocalyptic number.

10949560416144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10949560416144 is the 3309012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10949560416144

10949560416144 is an abundant number, since it is smaller than the sum of its proper divisors (26091561549483).

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

10949560416144 is an frugal number, since it uses more digits than its factorization.

10949560416144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 10949560416144 in words is "ten trillion, nine hundred forty-nine billion, five hundred sixty million, four hundred sixteen thousand, one hundred forty-four".