11159020422144 has 495 divisors, whose sum is σ = 38786917047813. Its totient is φ = 3186367414272.

The previous prime is 11159020422089. The next prime is 11159020422247. The reversal of 11159020422144 is 44122402095111.

The square root of 11159020422144 is 3340512.

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

11159020422144 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 90 + 2 + 0 + 422 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3553074201600 + 7605946220544 = 1884960^2 + 2757888^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11159020422099 and 11159020422108.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6734471364 + ... + 6734473020.

Almost surely, 2^{11159020422144} is an apocalyptic number.

11159020422144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11159020422144 is the 3340512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11159020422144

11159020422144 is an abundant number, since it is smaller than the sum of its proper divisors (27627896625669).

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

11159020422144 is an frugal number, since it uses more digits than its factorization.

11159020422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 11159020422144 by its sum of digits (36), we get a square (401724735197184 = 20043072²).

11159020422144 divided by its sum of digits (36) gives a square (309972789504 = 556752²).

The spelling of 11159020422144 in words is "eleven trillion, one hundred fifty-nine billion, twenty million, four hundred twenty-two thousand, one hundred forty-four".