11144412306001 has 16 divisors (see below), whose sum is σ = 12142907916048. Its totient is φ = 10166469408000.

The previous prime is 11144412305951. The next prime is 11144412306007. The reversal of 11144412306001 is 10060321444111.

It can be written as a sum of positive squares in 8 ways, for example, as 224130283776 + 10920282022225 = 473424^2 + 3304585^2 .

It is a cyclic number.

It is not a de Polignac number, because 11144412306001 - 2²³ = 11144403917393 is a prime.

It is a super-2 number, since 2×11144412306001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11144412306007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7134166 + ... + 8554831.

It is an arithmetic number, because the mean of its divisors is an integer number (758931744753).

Almost surely, 2^{11144412306001} is an apocalyptic number.

It is an amenable number.

11144412306001 is a deficient number, since it is larger than the sum of its proper divisors (998495610047).

11144412306001 is a wasteful number, since it uses less digits than its factorization.

11144412306001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15689652.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 11144412306001 in words is "eleven trillion, one hundred forty-four billion, four hundred twelve million, three hundred six thousand, one".