1162008242641 has 8 divisors (see below), whose sum is σ = 1162682829000. Its totient is φ = 1161333841920.

The previous prime is 1162008242617. The next prime is 1162008242671. The reversal of 1162008242641 is 1462428002611.

It can be written as a sum of positive squares in 4 ways, for example, as 16688764225 + 1145319478416 = 129185^2 + 1070196^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1162008242641 - 2²³ = 1161999854033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1162008242641.

It is not an unprimeable number, because it can be changed into a prime (1162008242671) 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 7 ways as a sum of consecutive naturals, for example, 13620285 + ... + 13705333.

It is an arithmetic number, because the mean of its divisors is an integer number (145335353625).

Almost surely, 2^{1162008242641} is an apocalyptic number.

It is an amenable number.

1162008242641 is a deficient number, since it is larger than the sum of its proper divisors (674586359).

1162008242641 is an equidigital number, since it uses as much as digits as its factorization.

1162008242641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92819.

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 1162008242641 in words is "one trillion, one hundred sixty-two billion, eight million, two hundred forty-two thousand, six hundred forty-one".